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Finding the Fourth Proportional to 215,830.70, 323,746.05 and 166,006.70

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Solution

The fourth proportional to 215,830.70, 323,746.05 and 166,006.70 is: 249,010.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,830.70 : 323,746.05 = 166,006.70 : x
  2. Step 2: Convert to fraction form
    215,830.70/323,746.05 = 166,006.70/x
  3. Step 3: Cross multiply
    215,830.70x = 323,746.05 × 166,006.70
  4. Step 4: Simplify right side
    215,830.70x = 53,744,013,398.54
  5. Step 5: Solve for x
    x = 53,744,013,398.54/215,830.70
  6. Step 6: Final answer
    x = 249,010.05

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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.