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Finding the Fourth Proportional to 390,214.32, 538,484.76 and 229,066.80

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Solution

The fourth proportional to 390,214.32, 538,484.76 and 229,066.80 is: 316,105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,214.32 : 538,484.76 = 229,066.80 : x
  2. Step 2: Convert to fraction form
    390,214.32/538,484.76 = 229,066.80/x
  3. Step 3: Cross multiply
    390,214.32x = 538,484.76 × 229,066.80
  4. Step 4: Simplify right side
    390,214.32x = 123,348,980,821.97
  5. Step 5: Solve for x
    x = 123,348,980,821.97/390,214.32
  6. Step 6: Final answer
    x = 316,105.73

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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.