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Finding the Fourth Proportional to 390,640.74, 586,034.10 and 177,423.54

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Solution

The fourth proportional to 390,640.74, 586,034.10 and 177,423.54 is: 266,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,640.74 : 586,034.10 = 177,423.54 : x
  2. Step 2: Convert to fraction form
    390,640.74/586,034.10 = 177,423.54/x
  3. Step 3: Cross multiply
    390,640.74x = 586,034.10 × 177,423.54
  4. Step 4: Simplify right side
    390,640.74x = 103,976,244,582.71
  5. Step 5: Solve for x
    x = 103,976,244,582.71/390,640.74
  6. Step 6: Final answer
    x = 266,168.46

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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.