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Finding the Fourth Proportional to 329,430.72, 454,111.20 and 201,869.76

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Solution

The fourth proportional to 329,430.72, 454,111.20 and 201,869.76 is: 278,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,430.72 : 454,111.20 = 201,869.76 : x
  2. Step 2: Convert to fraction form
    329,430.72/454,111.20 = 201,869.76/x
  3. Step 3: Cross multiply
    329,430.72x = 454,111.20 × 201,869.76
  4. Step 4: Simplify right side
    329,430.72x = 91,671,318,957.31
  5. Step 5: Solve for x
    x = 91,671,318,957.31/329,430.72
  6. Step 6: Final answer
    x = 278,271.92

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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.