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Finding the Fourth Proportional to 418,577.07, 628,144.79 and 152,337.51

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Solution

The fourth proportional to 418,577.07, 628,144.79 and 152,337.51 is: 228,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,577.07 : 628,144.79 = 152,337.51 : x
  2. Step 2: Convert to fraction form
    418,577.07/628,144.79 = 152,337.51/x
  3. Step 3: Cross multiply
    418,577.07x = 628,144.79 × 152,337.51
  4. Step 4: Simplify right side
    418,577.07x = 95,690,012,466.39
  5. Step 5: Solve for x
    x = 95,690,012,466.39/418,577.07
  6. Step 6: Final answer
    x = 228,607.87

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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.