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Finding the Fourth Proportional to 498,999.62, 688,626.04 and 284,140.54

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Solution

The fourth proportional to 498,999.62, 688,626.04 and 284,140.54 is: 392,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,999.62 : 688,626.04 = 284,140.54 : x
  2. Step 2: Convert to fraction form
    498,999.62/688,626.04 = 284,140.54/x
  3. Step 3: Cross multiply
    498,999.62x = 688,626.04 × 284,140.54
  4. Step 4: Simplify right side
    498,999.62x = 195,666,574,863.66
  5. Step 5: Solve for x
    x = 195,666,574,863.66/498,999.62
  6. Step 6: Final answer
    x = 392,117.68

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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.