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Finding the Fourth Proportional to 498,909.34, 688,479.51 and 284,080.06

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Solution

The fourth proportional to 498,909.34, 688,479.51 and 284,080.06 is: 392,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,909.34 : 688,479.51 = 284,080.06 : x
  2. Step 2: Convert to fraction form
    498,909.34/688,479.51 = 284,080.06/x
  3. Step 3: Cross multiply
    498,909.34x = 688,479.51 × 284,080.06
  4. Step 4: Simplify right side
    498,909.34x = 195,583,300,509.57
  5. Step 5: Solve for x
    x = 195,583,300,509.57/498,909.34
  6. Step 6: Final answer
    x = 392,021.73

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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.