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Finding the Fourth Proportional to 398,145.40, 596,411.70 and 247,924.60

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Solution

The fourth proportional to 398,145.40, 596,411.70 and 247,924.60 is: 371,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,145.40 : 596,411.70 = 247,924.60 : x
  2. Step 2: Convert to fraction form
    398,145.40/596,411.70 = 247,924.60/x
  3. Step 3: Cross multiply
    398,145.40x = 596,411.70 × 247,924.60
  4. Step 4: Simplify right side
    398,145.40x = 147,865,132,157.82
  5. Step 5: Solve for x
    x = 147,865,132,157.82/398,145.40
  6. Step 6: Final answer
    x = 371,384.76

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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.