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Finding the Fourth Proportional to 402,708.78, 555,740.20 and 221,432.38

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Solution

The fourth proportional to 402,708.78, 555,740.20 and 221,432.38 is: 305,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,708.78 : 555,740.20 = 221,432.38 : x
  2. Step 2: Convert to fraction form
    402,708.78/555,740.20 = 221,432.38/x
  3. Step 3: Cross multiply
    402,708.78x = 555,740.20 × 221,432.38
  4. Step 4: Simplify right side
    402,708.78x = 123,058,875,147.68
  5. Step 5: Solve for x
    x = 123,058,875,147.68/402,708.78
  6. Step 6: Final answer
    x = 305,577.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.