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Finding the Fourth Proportional to 390,567.14, 538,949.12 and 227,253.86

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Solution

The fourth proportional to 390,567.14, 538,949.12 and 227,253.86 is: 313,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,567.14 : 538,949.12 = 227,253.86 : x
  2. Step 2: Convert to fraction form
    390,567.14/538,949.12 = 227,253.86/x
  3. Step 3: Cross multiply
    390,567.14x = 538,949.12 × 227,253.86
  4. Step 4: Simplify right side
    390,567.14x = 122,478,267,863.60
  5. Step 5: Solve for x
    x = 122,478,267,863.60/390,567.14
  6. Step 6: Final answer
    x = 313,590.82

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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.