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Finding the Fourth Proportional to 420,476.62, 630,798 and 154,239.60

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Solution

The fourth proportional to 420,476.62, 630,798 and 154,239.60 is: 231,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,476.62 : 630,798 = 154,239.60 : x
  2. Step 2: Convert to fraction form
    420,476.62/630,798 = 154,239.60/x
  3. Step 3: Cross multiply
    420,476.62x = 630,798 × 154,239.60
  4. Step 4: Simplify right side
    420,476.62x = 97,294,031,200.80
  5. Step 5: Solve for x
    x = 97,294,031,200.80/420,476.62
  6. Step 6: Final answer
    x = 231,389.87

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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.