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Finding the Fourth Proportional to 418,225.48, 626,985.52 and 181,389.78

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Solution

The fourth proportional to 418,225.48, 626,985.52 and 181,389.78 is: 271,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,225.48 : 626,985.52 = 181,389.78 : x
  2. Step 2: Convert to fraction form
    418,225.48/626,985.52 = 181,389.78/x
  3. Step 3: Cross multiply
    418,225.48x = 626,985.52 × 181,389.78
  4. Step 4: Simplify right side
    418,225.48x = 113,728,765,082.51
  5. Step 5: Solve for x
    x = 113,728,765,082.51/418,225.48
  6. Step 6: Final answer
    x = 271,931.70

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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.