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Finding the Fourth Proportional to 699,542.40, 965,340 and 413,155.20

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Solution

The fourth proportional to 699,542.40, 965,340 and 413,155.20 is: 570,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,542.40 : 965,340 = 413,155.20 : x
  2. Step 2: Convert to fraction form
    699,542.40/965,340 = 413,155.20/x
  3. Step 3: Cross multiply
    699,542.40x = 965,340 × 413,155.20
  4. Step 4: Simplify right side
    699,542.40x = 398,835,240,768
  5. Step 5: Solve for x
    x = 398,835,240,768/699,542.40
  6. Step 6: Final answer
    x = 570,137.34

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Double scale
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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.