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Finding the Fourth Proportional to 420,148.64, 630,495.60 and 251,541.92

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Solution

The fourth proportional to 420,148.64, 630,495.60 and 251,541.92 is: 377,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,148.64 : 630,495.60 = 251,541.92 : x
  2. Step 2: Convert to fraction form
    420,148.64/630,495.60 = 251,541.92/x
  3. Step 3: Cross multiply
    420,148.64x = 630,495.60 × 251,541.92
  4. Step 4: Simplify right side
    420,148.64x = 158,596,073,775.55
  5. Step 5: Solve for x
    x = 158,596,073,775.55/420,148.64
  6. Step 6: Final answer
    x = 377,476.11

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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.