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Finding the Fourth Proportional to 649,244.20, 973,866.30 and 538,652.20

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Solution

The fourth proportional to 649,244.20, 973,866.30 and 538,652.20 is: 807,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,244.20 : 973,866.30 = 538,652.20 : x
  2. Step 2: Convert to fraction form
    649,244.20/973,866.30 = 538,652.20/x
  3. Step 3: Cross multiply
    649,244.20x = 973,866.30 × 538,652.20
  4. Step 4: Simplify right side
    649,244.20x = 524,575,225,000.86
  5. Step 5: Solve for x
    x = 524,575,225,000.86/649,244.20
  6. Step 6: Final answer
    x = 807,978.30

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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.