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Finding the Fourth Proportional to 565,385.91, 780,239.12 and 310,737.51

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Solution

The fourth proportional to 565,385.91, 780,239.12 and 310,737.51 is: 428,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,385.91 : 780,239.12 = 310,737.51 : x
  2. Step 2: Convert to fraction form
    565,385.91/780,239.12 = 310,737.51/x
  3. Step 3: Cross multiply
    565,385.91x = 780,239.12 × 310,737.51
  4. Step 4: Simplify right side
    565,385.91x = 242,449,559,799.70
  5. Step 5: Solve for x
    x = 242,449,559,799.70/565,385.91
  6. Step 6: Final answer
    x = 428,821.37

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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.