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Finding the Fourth Proportional to 529,496.90, 730,710.51 and 287,780.04

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Solution

The fourth proportional to 529,496.90, 730,710.51 and 287,780.04 is: 397,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,496.90 : 730,710.51 = 287,780.04 : x
  2. Step 2: Convert to fraction form
    529,496.90/730,710.51 = 287,780.04/x
  3. Step 3: Cross multiply
    529,496.90x = 730,710.51 × 287,780.04
  4. Step 4: Simplify right side
    529,496.90x = 210,283,899,796.22
  5. Step 5: Solve for x
    x = 210,283,899,796.22/529,496.90
  6. Step 6: Final answer
    x = 397,139.06

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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.