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Finding the Fourth Proportional to 513,006.39, 707,947.31 and 286,652.07

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Solution

The fourth proportional to 513,006.39, 707,947.31 and 286,652.07 is: 395,579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,006.39 : 707,947.31 = 286,652.07 : x
  2. Step 2: Convert to fraction form
    513,006.39/707,947.31 = 286,652.07/x
  3. Step 3: Cross multiply
    513,006.39x = 707,947.31 × 286,652.07
  4. Step 4: Simplify right side
    513,006.39x = 202,934,560,429.17
  5. Step 5: Solve for x
    x = 202,934,560,429.17/513,006.39
  6. Step 6: Final answer
    x = 395,579.01

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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.