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Finding the Fourth Proportional to 311,990.61, 430,510.64 and 176,026.71

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Solution

The fourth proportional to 311,990.61, 430,510.64 and 176,026.71 is: 242,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,990.61 : 430,510.64 = 176,026.71 : x
  2. Step 2: Convert to fraction form
    311,990.61/430,510.64 = 176,026.71/x
  3. Step 3: Cross multiply
    311,990.61x = 430,510.64 × 176,026.71
  4. Step 4: Simplify right side
    311,990.61x = 75,781,370,699.06
  5. Step 5: Solve for x
    x = 75,781,370,699.06/311,990.61
  6. Step 6: Final answer
    x = 242,896.32

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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.