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Finding the Fourth Proportional to 261,374.56, 360,641.10 and 153,905.32

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Solution

The fourth proportional to 261,374.56, 360,641.10 and 153,905.32 is: 212,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,374.56 : 360,641.10 = 153,905.32 : x
  2. Step 2: Convert to fraction form
    261,374.56/360,641.10 = 153,905.32/x
  3. Step 3: Cross multiply
    261,374.56x = 360,641.10 × 153,905.32
  4. Step 4: Simplify right side
    261,374.56x = 55,504,583,900.65
  5. Step 5: Solve for x
    x = 55,504,583,900.65/261,374.56
  6. Step 6: Final answer
    x = 212,356.49

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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.