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Finding the Fourth Proportional to 390,612.78, 538,981.86 and 227,305.83

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Solution

The fourth proportional to 390,612.78, 538,981.86 and 227,305.83 is: 313,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,612.78 : 538,981.86 = 227,305.83 : x
  2. Step 2: Convert to fraction form
    390,612.78/538,981.86 = 227,305.83/x
  3. Step 3: Cross multiply
    390,612.78x = 538,981.86 × 227,305.83
  4. Step 4: Simplify right side
    390,612.78x = 122,513,719,042.24
  5. Step 5: Solve for x
    x = 122,513,719,042.24/390,612.78
  6. Step 6: Final answer
    x = 313,644.93

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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.