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Finding the Fourth Proportional to 384,301.92, 530,184.24 and 256,775.52

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Solution

The fourth proportional to 384,301.92, 530,184.24 and 256,775.52 is: 354,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,301.92 : 530,184.24 = 256,775.52 : x
  2. Step 2: Convert to fraction form
    384,301.92/530,184.24 = 256,775.52/x
  3. Step 3: Cross multiply
    384,301.92x = 530,184.24 × 256,775.52
  4. Step 4: Simplify right side
    384,301.92x = 136,138,333,921.81
  5. Step 5: Solve for x
    x = 136,138,333,921.81/384,301.92
  6. Step 6: Final answer
    x = 354,248.38

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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.