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Finding the Fourth Proportional to 586,520, 809,397.60 and 318,248

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Solution

The fourth proportional to 586,520, 809,397.60 and 318,248 is: 439,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,520 : 809,397.60 = 318,248 : x
  2. Step 2: Convert to fraction form
    586,520/809,397.60 = 318,248/x
  3. Step 3: Cross multiply
    586,520x = 809,397.60 × 318,248
  4. Step 4: Simplify right side
    586,520x = 257,589,167,404.80
  5. Step 5: Solve for x
    x = 257,589,167,404.80/586,520
  6. Step 6: Final answer
    x = 439,182.24

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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.