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Finding the Fourth Proportional to 265,730.71, 398,658.94 and 105,815.90

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Solution

The fourth proportional to 265,730.71, 398,658.94 and 105,815.90 is: 158,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,730.71 : 398,658.94 = 105,815.90 : x
  2. Step 2: Convert to fraction form
    265,730.71/398,658.94 = 105,815.90/x
  3. Step 3: Cross multiply
    265,730.71x = 398,658.94 × 105,815.90
  4. Step 4: Simplify right side
    265,730.71x = 42,184,454,529.15
  5. Step 5: Solve for x
    x = 42,184,454,529.15/265,730.71
  6. Step 6: Final answer
    x = 158,748.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.