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Finding the Fourth Proportional to 307,913.40, 461,870.10 and 293,479.20

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Solution

The fourth proportional to 307,913.40, 461,870.10 and 293,479.20 is: 440,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,913.40 : 461,870.10 = 293,479.20 : x
  2. Step 2: Convert to fraction form
    307,913.40/461,870.10 = 293,479.20/x
  3. Step 3: Cross multiply
    307,913.40x = 461,870.10 × 293,479.20
  4. Step 4: Simplify right side
    307,913.40x = 135,549,267,451.92
  5. Step 5: Solve for x
    x = 135,549,267,451.92/307,913.40
  6. Step 6: Final answer
    x = 440,218.80

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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.