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Finding the Fourth Proportional to 513,338.10, 708,411.06 and 283,883.46

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Solution

The fourth proportional to 513,338.10, 708,411.06 and 283,883.46 is: 391,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,338.10 : 708,411.06 = 283,883.46 : x
  2. Step 2: Convert to fraction form
    513,338.10/708,411.06 = 283,883.46/x
  3. Step 3: Cross multiply
    513,338.10x = 708,411.06 × 283,883.46
  4. Step 4: Simplify right side
    513,338.10x = 201,106,182,815.07
  5. Step 5: Solve for x
    x = 201,106,182,815.07/513,338.10
  6. Step 6: Final answer
    x = 391,761.65

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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.