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Finding the Fourth Proportional to 565,991.48, 781,064.16 and 311,337.20

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Solution

The fourth proportional to 565,991.48, 781,064.16 and 311,337.20 is: 429,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,991.48 : 781,064.16 = 311,337.20 : x
  2. Step 2: Convert to fraction form
    565,991.48/781,064.16 = 311,337.20/x
  3. Step 3: Cross multiply
    565,991.48x = 781,064.16 × 311,337.20
  4. Step 4: Simplify right side
    565,991.48x = 243,174,328,594.75
  5. Step 5: Solve for x
    x = 243,174,328,594.75/565,991.48
  6. Step 6: Final answer
    x = 429,643.09

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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.