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Finding the Fourth Proportional to 653,431.80, 980,730.90 and 564,785.40

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Solution

The fourth proportional to 653,431.80, 980,730.90 and 564,785.40 is: 847,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,431.80 : 980,730.90 = 564,785.40 : x
  2. Step 2: Convert to fraction form
    653,431.80/980,730.90 = 564,785.40/x
  3. Step 3: Cross multiply
    653,431.80x = 980,730.90 × 564,785.40
  4. Step 4: Simplify right side
    653,431.80x = 553,902,493,648.86
  5. Step 5: Solve for x
    x = 553,902,493,648.86/653,431.80
  6. Step 6: Final answer
    x = 847,682.18

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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.