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Finding the Fourth Proportional to 228,411.40, 342,617.10 and 153,761.80

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Solution

The fourth proportional to 228,411.40, 342,617.10 and 153,761.80 is: 230,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,411.40 : 342,617.10 = 153,761.80 : x
  2. Step 2: Convert to fraction form
    228,411.40/342,617.10 = 153,761.80/x
  3. Step 3: Cross multiply
    228,411.40x = 342,617.10 × 153,761.80
  4. Step 4: Simplify right side
    228,411.40x = 52,681,422,006.78
  5. Step 5: Solve for x
    x = 52,681,422,006.78/228,411.40
  6. Step 6: Final answer
    x = 230,642.70

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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.