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Finding the Fourth Proportional to 514,478.04, 771,770.50 and 140,501

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Solution

The fourth proportional to 514,478.04, 771,770.50 and 140,501 is: 210,766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,478.04 : 771,770.50 = 140,501 : x
  2. Step 2: Convert to fraction form
    514,478.04/771,770.50 = 140,501/x
  3. Step 3: Cross multiply
    514,478.04x = 771,770.50 × 140,501
  4. Step 4: Simplify right side
    514,478.04x = 108,434,527,020.50
  5. Step 5: Solve for x
    x = 108,434,527,020.50/514,478.04
  6. Step 6: Final answer
    x = 210,766.09

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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.