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Finding the Fourth Proportional to 653,542.40, 977,689.20 and 565,770.80

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Solution

The fourth proportional to 653,542.40, 977,689.20 and 565,770.80 is: 846,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,542.40 : 977,689.20 = 565,770.80 : x
  2. Step 2: Convert to fraction form
    653,542.40/977,689.20 = 565,770.80/x
  3. Step 3: Cross multiply
    653,542.40x = 977,689.20 × 565,770.80
  4. Step 4: Simplify right side
    653,542.40x = 553,148,000,835.36
  5. Step 5: Solve for x
    x = 553,148,000,835.36/653,542.40
  6. Step 6: Final answer
    x = 846,384.26

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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.