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Finding the Fourth Proportional to 2,896,478,978.40, 4,344,718,467.60 and 715,445,114.40

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Solution

The fourth proportional to 2,896,478,978.40, 4,344,718,467.60 and 715,445,114.40 is: 1,073,167,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896,478,978.40 : 4,344,718,467.60 = 715,445,114.40 : x
  2. Step 2: Convert to fraction form
    2,896,478,978.40/4,344,718,467.60 = 715,445,114.40/x
  3. Step 3: Cross multiply
    2,896,478,978.40x = 4,344,718,467.60 × 715,445,114.40
  4. Step 4: Simplify right side
    2,896,478,978.40x = 3,108,407,601,087,875,072
  5. Step 5: Solve for x
    x = 3,108,407,601,087,875,072/2,896,478,978.40
  6. Step 6: Final answer
    x = 1,073,167,671.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.