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Finding the Fourth Proportional to 378,851.92, 522,815.90 and 282,138.91

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Solution

The fourth proportional to 378,851.92, 522,815.90 and 282,138.91 is: 389,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,851.92 : 522,815.90 = 282,138.91 : x
  2. Step 2: Convert to fraction form
    378,851.92/522,815.90 = 282,138.91/x
  3. Step 3: Cross multiply
    378,851.92x = 522,815.90 × 282,138.91
  4. Step 4: Simplify right side
    378,851.92x = 147,506,709,966.81
  5. Step 5: Solve for x
    x = 147,506,709,966.81/378,851.92
  6. Step 6: Final answer
    x = 389,351.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.