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Finding the Fourth Proportional to 420,175.68, 630,665.28 and 154,193.28

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Solution

The fourth proportional to 420,175.68, 630,665.28 and 154,193.28 is: 231,437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,175.68 : 630,665.28 = 154,193.28 : x
  2. Step 2: Convert to fraction form
    420,175.68/630,665.28 = 154,193.28/x
  3. Step 3: Cross multiply
    420,175.68x = 630,665.28 × 154,193.28
  4. Step 4: Simplify right side
    420,175.68x = 97,244,348,105.32
  5. Step 5: Solve for x
    x = 97,244,348,105.32/420,175.68
  6. Step 6: Final answer
    x = 231,437.36

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1.5x scale

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.