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Finding the Fourth Proportional to 565,997.70, 781,088.91 and 311,348.88

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Solution

The fourth proportional to 565,997.70, 781,088.91 and 311,348.88 is: 429,668.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,997.70 : 781,088.91 = 311,348.88 : x
  2. Step 2: Convert to fraction form
    565,997.70/781,088.91 = 311,348.88/x
  3. Step 3: Cross multiply
    565,997.70x = 781,088.91 × 311,348.88
  4. Step 4: Simplify right side
    565,997.70x = 243,191,157,308.92
  5. Step 5: Solve for x
    x = 243,191,157,308.92/565,997.70
  6. Step 6: Final answer
    x = 429,668.10

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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.