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Finding the Fourth Proportional to 390,169.89, 538,478.16 and 220,414.95

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Solution

The fourth proportional to 390,169.89, 538,478.16 and 220,414.95 is: 304,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,169.89 : 538,478.16 = 220,414.95 : x
  2. Step 2: Convert to fraction form
    390,169.89/538,478.16 = 220,414.95/x
  3. Step 3: Cross multiply
    390,169.89x = 538,478.16 × 220,414.95
  4. Step 4: Simplify right side
    390,169.89x = 118,688,636,712.49
  5. Step 5: Solve for x
    x = 118,688,636,712.49/390,169.89
  6. Step 6: Final answer
    x = 304,197.32

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1.5x scale

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.