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Finding the Fourth Proportional to 648,063.20, 971,965.20 and 311,103.20

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Solution

The fourth proportional to 648,063.20, 971,965.20 and 311,103.20 is: 466,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,063.20 : 971,965.20 = 311,103.20 : x
  2. Step 2: Convert to fraction form
    648,063.20/971,965.20 = 311,103.20/x
  3. Step 3: Cross multiply
    648,063.20x = 971,965.20 × 311,103.20
  4. Step 4: Simplify right side
    648,063.20x = 302,381,484,008.64
  5. Step 5: Solve for x
    x = 302,381,484,008.64/648,063.20
  6. Step 6: Final answer
    x = 466,592.59

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1.5x scale

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.