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Finding the Fourth Proportional to 702,398.46, 969,312.32 and 380,108.47

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Solution

The fourth proportional to 702,398.46, 969,312.32 and 380,108.47 is: 524,551.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,398.46 : 969,312.32 = 380,108.47 : x
  2. Step 2: Convert to fraction form
    702,398.46/969,312.32 = 380,108.47/x
  3. Step 3: Cross multiply
    702,398.46x = 969,312.32 × 380,108.47
  4. Step 4: Simplify right side
    702,398.46x = 368,443,822,907.35
  5. Step 5: Solve for x
    x = 368,443,822,907.35/702,398.46
  6. Step 6: Final answer
    x = 524,551.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.