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Finding the Fourth Proportional to 723,722.24, 998,740.32 and 401,409.92

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Solution

The fourth proportional to 723,722.24, 998,740.32 and 401,409.92 is: 553,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,722.24 : 998,740.32 = 401,409.92 : x
  2. Step 2: Convert to fraction form
    723,722.24/998,740.32 = 401,409.92/x
  3. Step 3: Cross multiply
    723,722.24x = 998,740.32 × 401,409.92
  4. Step 4: Simplify right side
    723,722.24x = 400,904,271,951.97
  5. Step 5: Solve for x
    x = 400,904,271,951.97/723,722.24
  6. Step 6: Final answer
    x = 553,947.70

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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.