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Finding the Fourth Proportional to 207,411.86, 311,219.45 and 74,302.40

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Solution

The fourth proportional to 207,411.86, 311,219.45 and 74,302.40 is: 111,490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,411.86 : 311,219.45 = 74,302.40 : x
  2. Step 2: Convert to fraction form
    207,411.86/311,219.45 = 74,302.40/x
  3. Step 3: Cross multiply
    207,411.86x = 311,219.45 × 74,302.40
  4. Step 4: Simplify right side
    207,411.86x = 23,124,350,134.07
  5. Step 5: Solve for x
    x = 23,124,350,134.07/207,411.86
  6. Step 6: Final answer
    x = 111,490.01

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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.