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Finding the Fourth Proportional to 513,194.68, 708,230.28 and 286,840

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Solution

The fourth proportional to 513,194.68, 708,230.28 and 286,840 is: 395,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,194.68 : 708,230.28 = 286,840 : x
  2. Step 2: Convert to fraction form
    513,194.68/708,230.28 = 286,840/x
  3. Step 3: Cross multiply
    513,194.68x = 708,230.28 × 286,840
  4. Step 4: Simplify right side
    513,194.68x = 203,148,773,515.20
  5. Step 5: Solve for x
    x = 203,148,773,515.20/513,194.68
  6. Step 6: Final answer
    x = 395,851.28

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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.