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Finding the Fourth Proportional to 586,354.84, 809,171.23 and 318,082.84

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Solution

The fourth proportional to 586,354.84, 809,171.23 and 318,082.84 is: 438,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,354.84 : 809,171.23 = 318,082.84 : x
  2. Step 2: Convert to fraction form
    586,354.84/809,171.23 = 318,082.84/x
  3. Step 3: Cross multiply
    586,354.84x = 809,171.23 × 318,082.84
  4. Step 4: Simplify right side
    586,354.84x = 257,383,478,838.84
  5. Step 5: Solve for x
    x = 257,383,478,838.84/586,354.84
  6. Step 6: Final answer
    x = 438,955.16

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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.