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Finding the Fourth Proportional to 529,496.61, 730,710.13 and 287,779.77

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Solution

The fourth proportional to 529,496.61, 730,710.13 and 287,779.77 is: 397,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,496.61 : 730,710.13 = 287,779.77 : x
  2. Step 2: Convert to fraction form
    529,496.61/730,710.13 = 287,779.77/x
  3. Step 3: Cross multiply
    529,496.61x = 730,710.13 × 287,779.77
  4. Step 4: Simplify right side
    529,496.61x = 210,283,593,148.07
  5. Step 5: Solve for x
    x = 210,283,593,148.07/529,496.61
  6. Step 6: Final answer
    x = 397,138.70

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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.