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Finding the Fourth Proportional to 261,326.94, 360,641.43 and 148,171.74

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Solution

The fourth proportional to 261,326.94, 360,641.43 and 148,171.74 is: 204,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,326.94 : 360,641.43 = 148,171.74 : x
  2. Step 2: Convert to fraction form
    261,326.94/360,641.43 = 148,171.74/x
  3. Step 3: Cross multiply
    261,326.94x = 360,641.43 × 148,171.74
  4. Step 4: Simplify right side
    261,326.94x = 53,436,868,199.19
  5. Step 5: Solve for x
    x = 53,436,868,199.19/261,326.94
  6. Step 6: Final answer
    x = 204,482.81

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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.