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Finding the Fourth Proportional to 420,527.76, 630,874.56 and 154,290.72

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Solution

The fourth proportional to 420,527.76, 630,874.56 and 154,290.72 is: 231,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,527.76 : 630,874.56 = 154,290.72 : x
  2. Step 2: Convert to fraction form
    420,527.76/630,874.56 = 154,290.72/x
  3. Step 3: Cross multiply
    420,527.76x = 630,874.56 × 154,290.72
  4. Step 4: Simplify right side
    420,527.76x = 97,338,090,092.08
  5. Step 5: Solve for x
    x = 97,338,090,092.08/420,527.76
  6. Step 6: Final answer
    x = 231,466.50

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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.