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Finding the Fourth Proportional to 390,476.34, 538,904.61 and 220,708.98

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Solution

The fourth proportional to 390,476.34, 538,904.61 and 220,708.98 is: 304,605.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,476.34 : 538,904.61 = 220,708.98 : x
  2. Step 2: Convert to fraction form
    390,476.34/538,904.61 = 220,708.98/x
  3. Step 3: Cross multiply
    390,476.34x = 538,904.61 × 220,708.98
  4. Step 4: Simplify right side
    390,476.34x = 118,941,086,790.40
  5. Step 5: Solve for x
    x = 118,941,086,790.40/390,476.34
  6. Step 6: Final answer
    x = 304,605.11

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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.