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Finding the Fourth Proportional to 390,447, 538,817.24 and 211,599

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Solution

The fourth proportional to 390,447, 538,817.24 and 211,599 is: 292,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,447 : 538,817.24 = 211,599 : x
  2. Step 2: Convert to fraction form
    390,447/538,817.24 = 211,599/x
  3. Step 3: Cross multiply
    390,447x = 538,817.24 × 211,599
  4. Step 4: Simplify right side
    390,447x = 114,013,189,166.76
  5. Step 5: Solve for x
    x = 114,013,189,166.76/390,447
  6. Step 6: Final answer
    x = 292,006.83

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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.