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Finding the Fourth Proportional to 586,578.64, 809,478.51 and 318,306.64

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Solution

The fourth proportional to 586,578.64, 809,478.51 and 318,306.64 is: 439,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,578.64 : 809,478.51 = 318,306.64 : x
  2. Step 2: Convert to fraction form
    586,578.64/809,478.51 = 318,306.64/x
  3. Step 3: Cross multiply
    586,578.64x = 809,478.51 × 318,306.64
  4. Step 4: Simplify right side
    586,578.64x = 257,662,384,670.31
  5. Step 5: Solve for x
    x = 257,662,384,670.31/586,578.64
  6. Step 6: Final answer
    x = 439,263.16

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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.