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Finding the Fourth Proportional to 613,743.18, 920,592.98 and 187,261.80

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Solution

The fourth proportional to 613,743.18, 920,592.98 and 187,261.80 is: 280,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,743.18 : 920,592.98 = 187,261.80 : x
  2. Step 2: Convert to fraction form
    613,743.18/920,592.98 = 187,261.80/x
  3. Step 3: Cross multiply
    613,743.18x = 920,592.98 × 187,261.80
  4. Step 4: Simplify right side
    613,743.18x = 172,391,898,502.16
  5. Step 5: Solve for x
    x = 172,391,898,502.16/613,743.18
  6. Step 6: Final answer
    x = 280,886.05

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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.