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Finding the Fourth Proportional to 420,425.76, 630,263.64 and 154,124.10

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Solution

The fourth proportional to 420,425.76, 630,263.64 and 154,124.10 is: 231,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,425.76 : 630,263.64 = 154,124.10 : x
  2. Step 2: Convert to fraction form
    420,425.76/630,263.64 = 154,124.10/x
  3. Step 3: Cross multiply
    420,425.76x = 630,263.64 × 154,124.10
  4. Step 4: Simplify right side
    420,425.76x = 97,138,816,277.72
  5. Step 5: Solve for x
    x = 97,138,816,277.72/420,425.76
  6. Step 6: Final answer
    x = 231,048.68

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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.