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Finding the Fourth Proportional to 415,689.54, 623,534.62 and 100,146.76

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Solution

The fourth proportional to 415,689.54, 623,534.62 and 100,146.76 is: 150,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,689.54 : 623,534.62 = 100,146.76 : x
  2. Step 2: Convert to fraction form
    415,689.54/623,534.62 = 100,146.76/x
  3. Step 3: Cross multiply
    415,689.54x = 623,534.62 × 100,146.76
  4. Step 4: Simplify right side
    415,689.54x = 62,444,971,940.83
  5. Step 5: Solve for x
    x = 62,444,971,940.83/415,689.54
  6. Step 6: Final answer
    x = 150,220.21

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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.