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Finding the Fourth Proportional to 357,141.32, 535,711.94 and 278,314.52

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Solution

The fourth proportional to 357,141.32, 535,711.94 and 278,314.52 is: 417,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,141.32 : 535,711.94 = 278,314.52 : x
  2. Step 2: Convert to fraction form
    357,141.32/535,711.94 = 278,314.52/x
  3. Step 3: Cross multiply
    357,141.32x = 535,711.94 × 278,314.52
  4. Step 4: Simplify right side
    357,141.32x = 149,096,411,439.37
  5. Step 5: Solve for x
    x = 149,096,411,439.37/357,141.32
  6. Step 6: Final answer
    x = 417,471.75

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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.