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Finding the Fourth Proportional to 386,970.80, 580,456.20 and 358,977.20

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Solution

The fourth proportional to 386,970.80, 580,456.20 and 358,977.20 is: 538,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,970.80 : 580,456.20 = 358,977.20 : x
  2. Step 2: Convert to fraction form
    386,970.80/580,456.20 = 358,977.20/x
  3. Step 3: Cross multiply
    386,970.80x = 580,456.20 × 358,977.20
  4. Step 4: Simplify right side
    386,970.80x = 208,370,541,398.64
  5. Step 5: Solve for x
    x = 208,370,541,398.64/386,970.80
  6. Step 6: Final answer
    x = 538,465.80

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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.