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Finding the Fourth Proportional to 542,814.40, 749,814.33 and 417,061.90

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Solution

The fourth proportional to 542,814.40, 749,814.33 and 417,061.90 is: 576,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,814.40 : 749,814.33 = 417,061.90 : x
  2. Step 2: Convert to fraction form
    542,814.40/749,814.33 = 417,061.90/x
  3. Step 3: Cross multiply
    542,814.40x = 749,814.33 × 417,061.90
  4. Step 4: Simplify right side
    542,814.40x = 312,718,989,117.03
  5. Step 5: Solve for x
    x = 312,718,989,117.03/542,814.40
  6. Step 6: Final answer
    x = 576,106.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.