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Finding the Fourth Proportional to 427,978.42, 641,966.06 and 128,457.70

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Solution

The fourth proportional to 427,978.42, 641,966.06 and 128,457.70 is: 192,686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,978.42 : 641,966.06 = 128,457.70 : x
  2. Step 2: Convert to fraction form
    427,978.42/641,966.06 = 128,457.70/x
  3. Step 3: Cross multiply
    427,978.42x = 641,966.06 × 128,457.70
  4. Step 4: Simplify right side
    427,978.42x = 82,465,483,545.66
  5. Step 5: Solve for x
    x = 82,465,483,545.66/427,978.42
  6. Step 6: Final answer
    x = 192,686.08

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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.