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Finding the Fourth Proportional to 513,000.80, 769,583.89 and 158,014.66

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Solution

The fourth proportional to 513,000.80, 769,583.89 and 158,014.66 is: 237,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,000.80 : 769,583.89 = 158,014.66 : x
  2. Step 2: Convert to fraction form
    513,000.80/769,583.89 = 158,014.66/x
  3. Step 3: Cross multiply
    513,000.80x = 769,583.89 × 158,014.66
  4. Step 4: Simplify right side
    513,000.80x = 121,605,532,081.84
  5. Step 5: Solve for x
    x = 121,605,532,081.84/513,000.80
  6. Step 6: Final answer
    x = 237,047.45

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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.