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Finding the Fourth Proportional to 502,430.40, 693,339.48 and 287,563.16

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Solution

The fourth proportional to 502,430.40, 693,339.48 and 287,563.16 is: 396,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,430.40 : 693,339.48 = 287,563.16 : x
  2. Step 2: Convert to fraction form
    502,430.40/693,339.48 = 287,563.16/x
  3. Step 3: Cross multiply
    502,430.40x = 693,339.48 × 287,563.16
  4. Step 4: Simplify right side
    502,430.40x = 199,378,891,821.56
  5. Step 5: Solve for x
    x = 199,378,891,821.56/502,430.40
  6. Step 6: Final answer
    x = 396,828.88

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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.