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Finding the Fourth Proportional to 390,137, 538,432.89 and 220,382.06

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Solution

The fourth proportional to 390,137, 538,432.89 and 220,382.06 is: 304,152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,137 : 538,432.89 = 220,382.06 : x
  2. Step 2: Convert to fraction form
    390,137/538,432.89 = 220,382.06/x
  3. Step 3: Cross multiply
    390,137x = 538,432.89 × 220,382.06
  4. Step 4: Simplify right side
    390,137x = 118,660,949,469.95
  5. Step 5: Solve for x
    x = 118,660,949,469.95/390,137
  6. Step 6: Final answer
    x = 304,152.00

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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.