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Finding the Fourth Proportional to 390,566.46, 538,956.33 and 218,454.66

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Solution

The fourth proportional to 390,566.46, 538,956.33 and 218,454.66 is: 301,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,566.46 : 538,956.33 = 218,454.66 : x
  2. Step 2: Convert to fraction form
    390,566.46/538,956.33 = 218,454.66/x
  3. Step 3: Cross multiply
    390,566.46x = 538,956.33 × 218,454.66
  4. Step 4: Simplify right side
    390,566.46x = 117,737,521,825.00
  5. Step 5: Solve for x
    x = 117,737,521,825.00/390,566.46
  6. Step 6: Final answer
    x = 301,453.23

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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.