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Finding the Fourth Proportional to 407,916.02, 611,781.72 and 155,106.30

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Solution

The fourth proportional to 407,916.02, 611,781.72 and 155,106.30 is: 232,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,916.02 : 611,781.72 = 155,106.30 : x
  2. Step 2: Convert to fraction form
    407,916.02/611,781.72 = 155,106.30/x
  3. Step 3: Cross multiply
    407,916.02x = 611,781.72 × 155,106.30
  4. Step 4: Simplify right side
    407,916.02x = 94,891,198,996.84
  5. Step 5: Solve for x
    x = 94,891,198,996.84/407,916.02
  6. Step 6: Final answer
    x = 232,624.35

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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.