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Finding the Fourth Proportional to 390,423.71, 538,780.97 and 218,339.78

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Solution

The fourth proportional to 390,423.71, 538,780.97 and 218,339.78 is: 301,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,423.71 : 538,780.97 = 218,339.78 : x
  2. Step 2: Convert to fraction form
    390,423.71/538,780.97 = 218,339.78/x
  3. Step 3: Cross multiply
    390,423.71x = 538,780.97 × 218,339.78
  4. Step 4: Simplify right side
    390,423.71x = 117,637,316,309.93
  5. Step 5: Solve for x
    x = 117,637,316,309.93/390,423.71
  6. Step 6: Final answer
    x = 301,306.79

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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.