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Finding the Fourth Proportional to 381,167.10, 526,106.31 and 258,866.45

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Solution

The fourth proportional to 381,167.10, 526,106.31 and 258,866.45 is: 357,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,167.10 : 526,106.31 = 258,866.45 : x
  2. Step 2: Convert to fraction form
    381,167.10/526,106.31 = 258,866.45/x
  3. Step 3: Cross multiply
    381,167.10x = 526,106.31 × 258,866.45
  4. Step 4: Simplify right side
    381,167.10x = 136,191,271,163.92
  5. Step 5: Solve for x
    x = 136,191,271,163.92/381,167.10
  6. Step 6: Final answer
    x = 357,300.70

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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.