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Finding the Fourth Proportional to 612,389,978.10, 918,584,967.15 and 440,203,094.10

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Solution

The fourth proportional to 612,389,978.10, 918,584,967.15 and 440,203,094.10 is: 660,304,641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,389,978.10 : 918,584,967.15 = 440,203,094.10 : x
  2. Step 2: Convert to fraction form
    612,389,978.10/918,584,967.15 = 440,203,094.10/x
  3. Step 3: Cross multiply
    612,389,978.10x = 918,584,967.15 × 440,203,094.10
  4. Step 4: Simplify right side
    612,389,978.10x = 404,363,944,733,176,896
  5. Step 5: Solve for x
    x = 404,363,944,733,176,896/612,389,978.10
  6. Step 6: Final answer
    x = 660,304,641.15

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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.