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Finding the Fourth Proportional to 513,300.60, 708,342.12 and 283,870.71

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Solution

The fourth proportional to 513,300.60, 708,342.12 and 283,870.71 is: 391,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,300.60 : 708,342.12 = 283,870.71 : x
  2. Step 2: Convert to fraction form
    513,300.60/708,342.12 = 283,870.71/x
  3. Step 3: Cross multiply
    513,300.60x = 708,342.12 × 283,870.71
  4. Step 4: Simplify right side
    513,300.60x = 201,077,580,527.31
  5. Step 5: Solve for x
    x = 201,077,580,527.31/513,300.60
  6. Step 6: Final answer
    x = 391,734.55

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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.