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Finding the Fourth Proportional to 390,613.44, 539,041.86 and 229,483.20

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Solution

The fourth proportional to 390,613.44, 539,041.86 and 229,483.20 is: 316,684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,613.44 : 539,041.86 = 229,483.20 : x
  2. Step 2: Convert to fraction form
    390,613.44/539,041.86 = 229,483.20/x
  3. Step 3: Cross multiply
    390,613.44x = 539,041.86 × 229,483.20
  4. Step 4: Simplify right side
    390,613.44x = 123,701,050,966.75
  5. Step 5: Solve for x
    x = 123,701,050,966.75/390,613.44
  6. Step 6: Final answer
    x = 316,684.06

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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.