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Finding the Fourth Proportional to 653,444.40, 977,542.20 and 565,672.80

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Solution

The fourth proportional to 653,444.40, 977,542.20 and 565,672.80 is: 846,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,444.40 : 977,542.20 = 565,672.80 : x
  2. Step 2: Convert to fraction form
    653,444.40/977,542.20 = 565,672.80/x
  3. Step 3: Cross multiply
    653,444.40x = 977,542.20 × 565,672.80
  4. Step 4: Simplify right side
    653,444.40x = 552,969,033,392.16
  5. Step 5: Solve for x
    x = 552,969,033,392.16/653,444.40
  6. Step 6: Final answer
    x = 846,237.31

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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.