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Finding the Fourth Proportional to 326,312.96, 489,411.05 and 207,631.76

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Solution

The fourth proportional to 326,312.96, 489,411.05 and 207,631.76 is: 311,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,312.96 : 489,411.05 = 207,631.76 : x
  2. Step 2: Convert to fraction form
    326,312.96/489,411.05 = 207,631.76/x
  3. Step 3: Cross multiply
    326,312.96x = 489,411.05 × 207,631.76
  4. Step 4: Simplify right side
    326,312.96x = 101,617,274,189.73
  5. Step 5: Solve for x
    x = 101,617,274,189.73/326,312.96
  6. Step 6: Final answer
    x = 311,410.48

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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.