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Finding the Fourth Proportional to 390,055.84, 538,287.68 and 220,315.20

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Solution

The fourth proportional to 390,055.84, 538,287.68 and 220,315.20 is: 304,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,055.84 : 538,287.68 = 220,315.20 : x
  2. Step 2: Convert to fraction form
    390,055.84/538,287.68 = 220,315.20/x
  3. Step 3: Cross multiply
    390,055.84x = 538,287.68 × 220,315.20
  4. Step 4: Simplify right side
    390,055.84x = 118,592,957,876.74
  5. Step 5: Solve for x
    x = 118,592,957,876.74/390,055.84
  6. Step 6: Final answer
    x = 304,040.97

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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.