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Finding the Fourth Proportional to 420,429.53, 630,269.24 and 154,127.86

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Solution

The fourth proportional to 420,429.53, 630,269.24 and 154,127.86 is: 231,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,429.53 : 630,269.24 = 154,127.86 : x
  2. Step 2: Convert to fraction form
    420,429.53/630,269.24 = 154,127.86/x
  3. Step 3: Cross multiply
    420,429.53x = 630,269.24 × 154,127.86
  4. Step 4: Simplify right side
    420,429.53x = 97,142,046,838.71
  5. Step 5: Solve for x
    x = 97,142,046,838.71/420,429.53
  6. Step 6: Final answer
    x = 231,054.29

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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.