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Finding the Fourth Proportional to 498,084.78, 687,353.74 and 283,224.86

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Solution

The fourth proportional to 498,084.78, 687,353.74 and 283,224.86 is: 390,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,084.78 : 687,353.74 = 283,224.86 : x
  2. Step 2: Convert to fraction form
    498,084.78/687,353.74 = 283,224.86/x
  3. Step 3: Cross multiply
    498,084.78x = 687,353.74 × 283,224.86
  4. Step 4: Simplify right side
    498,084.78x = 194,675,666,781.98
  5. Step 5: Solve for x
    x = 194,675,666,781.98/498,084.78
  6. Step 6: Final answer
    x = 390,848.46

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1.5x scale

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.