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Finding the Fourth Proportional to 390,649.82, 586,033.23 and 141,390.14

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Solution

The fourth proportional to 390,649.82, 586,033.23 and 141,390.14 is: 212,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,649.82 : 586,033.23 = 141,390.14 : x
  2. Step 2: Convert to fraction form
    390,649.82/586,033.23 = 141,390.14/x
  3. Step 3: Cross multiply
    390,649.82x = 586,033.23 × 141,390.14
  4. Step 4: Simplify right side
    390,649.82x = 82,859,320,434.35
  5. Step 5: Solve for x
    x = 82,859,320,434.35/390,649.82
  6. Step 6: Final answer
    x = 212,106.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.