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Finding the Fourth Proportional to 459,321.90, 688,938.29 and 139,476.54

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Solution

The fourth proportional to 459,321.90, 688,938.29 and 139,476.54 is: 209,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,321.90 : 688,938.29 = 139,476.54 : x
  2. Step 2: Convert to fraction form
    459,321.90/688,938.29 = 139,476.54/x
  3. Step 3: Cross multiply
    459,321.90x = 688,938.29 × 139,476.54
  4. Step 4: Simplify right side
    459,321.90x = 96,090,727,158.48
  5. Step 5: Solve for x
    x = 96,090,727,158.48/459,321.90
  6. Step 6: Final answer
    x = 209,201.28

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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.