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Finding the Fourth Proportional to 509,834.50, 703,088.85 and 371,888.26

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Solution

The fourth proportional to 509,834.50, 703,088.85 and 371,888.26 is: 512,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,834.50 : 703,088.85 = 371,888.26 : x
  2. Step 2: Convert to fraction form
    509,834.50/703,088.85 = 371,888.26/x
  3. Step 3: Cross multiply
    509,834.50x = 703,088.85 × 371,888.26
  4. Step 4: Simplify right side
    509,834.50x = 261,470,489,051.90
  5. Step 5: Solve for x
    x = 261,470,489,051.90/509,834.50
  6. Step 6: Final answer
    x = 512,853.66

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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.