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Finding the Fourth Proportional to 434,514.70, 651,772.05 and 118,971.10

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Solution

The fourth proportional to 434,514.70, 651,772.05 and 118,971.10 is: 178,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,514.70 : 651,772.05 = 118,971.10 : x
  2. Step 2: Convert to fraction form
    434,514.70/651,772.05 = 118,971.10/x
  3. Step 3: Cross multiply
    434,514.70x = 651,772.05 × 118,971.10
  4. Step 4: Simplify right side
    434,514.70x = 77,542,037,737.76
  5. Step 5: Solve for x
    x = 77,542,037,737.76/434,514.70
  6. Step 6: Final answer
    x = 178,456.65

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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.