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Finding the Fourth Proportional to 565,909.62, 780,970.05 and 311,267.49

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Solution

The fourth proportional to 565,909.62, 780,970.05 and 311,267.49 is: 429,557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,909.62 : 780,970.05 = 311,267.49 : x
  2. Step 2: Convert to fraction form
    565,909.62/780,970.05 = 311,267.49/x
  3. Step 3: Cross multiply
    565,909.62x = 780,970.05 × 311,267.49
  4. Step 4: Simplify right side
    565,909.62x = 243,090,587,228.68
  5. Step 5: Solve for x
    x = 243,090,587,228.68/565,909.62
  6. Step 6: Final answer
    x = 429,557.26

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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.