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Finding the Fourth Proportional to 420,569.10, 630,697.82 and 150,655.20

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Solution

The fourth proportional to 420,569.10, 630,697.82 and 150,655.20 is: 225,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,569.10 : 630,697.82 = 150,655.20 : x
  2. Step 2: Convert to fraction form
    420,569.10/630,697.82 = 150,655.20/x
  3. Step 3: Cross multiply
    420,569.10x = 630,697.82 × 150,655.20
  4. Step 4: Simplify right side
    420,569.10x = 95,017,905,458.39
  5. Step 5: Solve for x
    x = 95,017,905,458.39/420,569.10
  6. Step 6: Final answer
    x = 225,926.98

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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.