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Finding the Fourth Proportional to 286,898.29, 429,516.40 and 216,119.02

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Solution

The fourth proportional to 286,898.29, 429,516.40 and 216,119.02 is: 323,552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,898.29 : 429,516.40 = 216,119.02 : x
  2. Step 2: Convert to fraction form
    286,898.29/429,516.40 = 216,119.02/x
  3. Step 3: Cross multiply
    286,898.29x = 429,516.40 × 216,119.02
  4. Step 4: Simplify right side
    286,898.29x = 92,826,661,524.56
  5. Step 5: Solve for x
    x = 92,826,661,524.56/286,898.29
  6. Step 6: Final answer
    x = 323,552.51

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1.5x scale

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.