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Finding the Fourth Proportional to 311,943.76, 430,482.40 and 168,703.76

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Solution

The fourth proportional to 311,943.76, 430,482.40 and 168,703.76 is: 232,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,943.76 : 430,482.40 = 168,703.76 : x
  2. Step 2: Convert to fraction form
    311,943.76/430,482.40 = 168,703.76/x
  3. Step 3: Cross multiply
    311,943.76x = 430,482.40 × 168,703.76
  4. Step 4: Simplify right side
    311,943.76x = 72,624,000,148.27
  5. Step 5: Solve for x
    x = 72,624,000,148.27/311,943.76
  6. Step 6: Final answer
    x = 232,811.20

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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.