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Finding the Fourth Proportional to 418,723.74, 628,331.76 and 152,500.32

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Solution

The fourth proportional to 418,723.74, 628,331.76 and 152,500.32 is: 228,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,723.74 : 628,331.76 = 152,500.32 : x
  2. Step 2: Convert to fraction form
    418,723.74/628,331.76 = 152,500.32/x
  3. Step 3: Cross multiply
    418,723.74x = 628,331.76 × 152,500.32
  4. Step 4: Simplify right side
    418,723.74x = 95,820,794,466.16
  5. Step 5: Solve for x
    x = 95,820,794,466.16/418,723.74
  6. Step 6: Final answer
    x = 228,840.13

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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.