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Finding the Fourth Proportional to 616,200, 921,631.68 and 362,876.64

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Solution

The fourth proportional to 616,200, 921,631.68 and 362,876.64 is: 542,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,200 : 921,631.68 = 362,876.64 : x
  2. Step 2: Convert to fraction form
    616,200/921,631.68 = 362,876.64/x
  3. Step 3: Cross multiply
    616,200x = 921,631.68 × 362,876.64
  4. Step 4: Simplify right side
    616,200x = 334,438,607,355.96
  5. Step 5: Solve for x
    x = 334,438,607,355.96/616,200
  6. Step 6: Final answer
    x = 542,743.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.