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Finding the Fourth Proportional to 434,565.30, 652,139.55 and 256,883.70

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Solution

The fourth proportional to 434,565.30, 652,139.55 and 256,883.70 is: 385,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,565.30 : 652,139.55 = 256,883.70 : x
  2. Step 2: Convert to fraction form
    434,565.30/652,139.55 = 256,883.70/x
  3. Step 3: Cross multiply
    434,565.30x = 652,139.55 × 256,883.70
  4. Step 4: Simplify right side
    434,565.30x = 167,524,020,520.34
  5. Step 5: Solve for x
    x = 167,524,020,520.34/434,565.30
  6. Step 6: Final answer
    x = 385,497.92

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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.