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Finding the Fourth Proportional to 565,564, 780,483.12 and 310,909.60

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Solution

The fourth proportional to 565,564, 780,483.12 and 310,909.60 is: 429,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,564 : 780,483.12 = 310,909.60 : x
  2. Step 2: Convert to fraction form
    565,564/780,483.12 = 310,909.60/x
  3. Step 3: Cross multiply
    565,564x = 780,483.12 × 310,909.60
  4. Step 4: Simplify right side
    565,564x = 242,659,694,645.95
  5. Step 5: Solve for x
    x = 242,659,694,645.95/565,564
  6. Step 6: Final answer
    x = 429,057.89

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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.