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Finding the Fourth Proportional to 477,207.32, 715,924.98 and 140,240.57

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Solution

The fourth proportional to 477,207.32, 715,924.98 and 140,240.57 is: 210,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,207.32 : 715,924.98 = 140,240.57 : x
  2. Step 2: Convert to fraction form
    477,207.32/715,924.98 = 140,240.57/x
  3. Step 3: Cross multiply
    477,207.32x = 715,924.98 × 140,240.57
  4. Step 4: Simplify right side
    477,207.32x = 100,401,723,692.81
  5. Step 5: Solve for x
    x = 100,401,723,692.81/477,207.32
  6. Step 6: Final answer
    x = 210,394.35

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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.