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Finding the Fourth Proportional to 510,817.16, 766,197.18 and 155,803.28

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Solution

The fourth proportional to 510,817.16, 766,197.18 and 155,803.28 is: 233,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,817.16 : 766,197.18 = 155,803.28 : x
  2. Step 2: Convert to fraction form
    510,817.16/766,197.18 = 155,803.28/x
  3. Step 3: Cross multiply
    510,817.16x = 766,197.18 × 155,803.28
  4. Step 4: Simplify right side
    510,817.16x = 119,376,033,770.75
  5. Step 5: Solve for x
    x = 119,376,033,770.75/510,817.16
  6. Step 6: Final answer
    x = 233,696.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.