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Finding the Fourth Proportional to 455,666.70, 683,500.05 and 140,123.10

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Solution

The fourth proportional to 455,666.70, 683,500.05 and 140,123.10 is: 210,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,666.70 : 683,500.05 = 140,123.10 : x
  2. Step 2: Convert to fraction form
    455,666.70/683,500.05 = 140,123.10/x
  3. Step 3: Cross multiply
    455,666.70x = 683,500.05 × 140,123.10
  4. Step 4: Simplify right side
    455,666.70x = 95,774,145,856.16
  5. Step 5: Solve for x
    x = 95,774,145,856.16/455,666.70
  6. Step 6: Final answer
    x = 210,184.65

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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.