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Finding the Fourth Proportional to 311,990.86, 430,510.98 and 176,026.96

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Solution

The fourth proportional to 311,990.86, 430,510.98 and 176,026.96 is: 242,896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,990.86 : 430,510.98 = 176,026.96 : x
  2. Step 2: Convert to fraction form
    311,990.86/430,510.98 = 176,026.96/x
  3. Step 3: Cross multiply
    311,990.86x = 430,510.98 × 176,026.96
  4. Step 4: Simplify right side
    311,990.86x = 75,781,539,056.02
  5. Step 5: Solve for x
    x = 75,781,539,056.02/311,990.86
  6. Step 6: Final answer
    x = 242,896.66

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1.5x scale

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.