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Finding the Fourth Proportional to 723,411.64, 998,291.10 and 401,118.76

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Solution

The fourth proportional to 723,411.64, 998,291.10 and 401,118.76 is: 553,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,411.64 : 998,291.10 = 401,118.76 : x
  2. Step 2: Convert to fraction form
    723,411.64/998,291.10 = 401,118.76/x
  3. Step 3: Cross multiply
    723,411.64x = 998,291.10 × 401,118.76
  4. Step 4: Simplify right side
    723,411.64x = 400,433,288,151.04
  5. Step 5: Solve for x
    x = 400,433,288,151.04/723,411.64
  6. Step 6: Final answer
    x = 553,534.48

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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.