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Finding the Fourth Proportional to 611,082, 843,298.92 and 342,815.76

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Solution

The fourth proportional to 611,082, 843,298.92 and 342,815.76 is: 473,088.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,082 : 843,298.92 = 342,815.76 : x
  2. Step 2: Convert to fraction form
    611,082/843,298.92 = 342,815.76/x
  3. Step 3: Cross multiply
    611,082x = 843,298.92 × 342,815.76
  4. Step 4: Simplify right side
    611,082x = 289,096,160,166.98
  5. Step 5: Solve for x
    x = 289,096,160,166.98/611,082
  6. Step 6: Final answer
    x = 473,088.98

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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.