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Finding the Fourth Proportional to 529,013.84, 730,038.91 and 287,296.48

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Solution

The fourth proportional to 529,013.84, 730,038.91 and 287,296.48 is: 396,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,013.84 : 730,038.91 = 287,296.48 : x
  2. Step 2: Convert to fraction form
    529,013.84/730,038.91 = 287,296.48/x
  3. Step 3: Cross multiply
    529,013.84x = 730,038.91 × 287,296.48
  4. Step 4: Simplify right side
    529,013.84x = 209,737,609,106.04
  5. Step 5: Solve for x
    x = 209,737,609,106.04/529,013.84
  6. Step 6: Final answer
    x = 396,469.04

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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.