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Finding the Fourth Proportional to 427,970.14, 642,053.63 and 128,456.39

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Solution

The fourth proportional to 427,970.14, 642,053.63 and 128,456.39 is: 192,714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,970.14 : 642,053.63 = 128,456.39 : x
  2. Step 2: Convert to fraction form
    427,970.14/642,053.63 = 128,456.39/x
  3. Step 3: Cross multiply
    427,970.14x = 642,053.63 × 128,456.39
  4. Step 4: Simplify right side
    427,970.14x = 82,475,892,914.47
  5. Step 5: Solve for x
    x = 82,475,892,914.47/427,970.14
  6. Step 6: Final answer
    x = 192,714.13

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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.