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Finding the Fourth Proportional to 502,007.10, 692,572.68 and 287,031.84

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Solution

The fourth proportional to 502,007.10, 692,572.68 and 287,031.84 is: 395,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,007.10 : 692,572.68 = 287,031.84 : x
  2. Step 2: Convert to fraction form
    502,007.10/692,572.68 = 287,031.84/x
  3. Step 3: Cross multiply
    502,007.10x = 692,572.68 × 287,031.84
  4. Step 4: Simplify right side
    502,007.10x = 198,790,410,674.13
  5. Step 5: Solve for x
    x = 198,790,410,674.13/502,007.10
  6. Step 6: Final answer
    x = 395,991.23

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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.