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Finding the Fourth Proportional to 312,461.50, 468,714.12 and 125,473

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Solution

The fourth proportional to 312,461.50, 468,714.12 and 125,473 is: 188,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,461.50 : 468,714.12 = 125,473 : x
  2. Step 2: Convert to fraction form
    312,461.50/468,714.12 = 125,473/x
  3. Step 3: Cross multiply
    312,461.50x = 468,714.12 × 125,473
  4. Step 4: Simplify right side
    312,461.50x = 58,810,966,778.76
  5. Step 5: Solve for x
    x = 58,810,966,778.76/312,461.50
  6. Step 6: Final answer
    x = 188,218.28

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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.