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Finding the Fourth Proportional to 529,139.36, 730,191.30 and 287,417

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Solution

The fourth proportional to 529,139.36, 730,191.30 and 287,417 is: 396,624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,139.36 : 730,191.30 = 287,417 : x
  2. Step 2: Convert to fraction form
    529,139.36/730,191.30 = 287,417/x
  3. Step 3: Cross multiply
    529,139.36x = 730,191.30 × 287,417
  4. Step 4: Simplify right side
    529,139.36x = 209,869,392,872.10
  5. Step 5: Solve for x
    x = 209,869,392,872.10/529,139.36
  6. Step 6: Final answer
    x = 396,624.04

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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.