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Finding the Fourth Proportional to 565,565, 780,484.50 and 310,910.60

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Solution

The fourth proportional to 565,565, 780,484.50 and 310,910.60 is: 429,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,565 : 780,484.50 = 310,910.60 : x
  2. Step 2: Convert to fraction form
    565,565/780,484.50 = 310,910.60/x
  3. Step 3: Cross multiply
    565,565x = 780,484.50 × 310,910.60
  4. Step 4: Simplify right side
    565,565x = 242,660,904,185.70
  5. Step 5: Solve for x
    x = 242,660,904,185.70/565,565
  6. Step 6: Final answer
    x = 429,059.27

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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.