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Finding the Fourth Proportional to 228,476.16, 342,648.48 and 78,710.40

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Solution

The fourth proportional to 228,476.16, 342,648.48 and 78,710.40 is: 118,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,476.16 : 342,648.48 = 78,710.40 : x
  2. Step 2: Convert to fraction form
    228,476.16/342,648.48 = 78,710.40/x
  3. Step 3: Cross multiply
    228,476.16x = 342,648.48 × 78,710.40
  4. Step 4: Simplify right side
    228,476.16x = 26,969,998,920.19
  5. Step 5: Solve for x
    x = 26,969,998,920.19/228,476.16
  6. Step 6: Final answer
    x = 118,042.95

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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.