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Finding the Fourth Proportional to 586,037, 808,731.42 and 317,765

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Solution

The fourth proportional to 586,037, 808,731.42 and 317,765 is: 438,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,037 : 808,731.42 = 317,765 : x
  2. Step 2: Convert to fraction form
    586,037/808,731.42 = 317,765/x
  3. Step 3: Cross multiply
    586,037x = 808,731.42 × 317,765
  4. Step 4: Simplify right side
    586,037x = 256,986,539,676.30
  5. Step 5: Solve for x
    x = 256,986,539,676.30/586,037
  6. Step 6: Final answer
    x = 438,515.90

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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.