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Finding the Fourth Proportional to 261,356.34, 360,655.14 and 153,905.61

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Solution

The fourth proportional to 261,356.34, 360,655.14 and 153,905.61 is: 212,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,356.34 : 360,655.14 = 153,905.61 : x
  2. Step 2: Convert to fraction form
    261,356.34/360,655.14 = 153,905.61/x
  3. Step 3: Cross multiply
    261,356.34x = 360,655.14 × 153,905.61
  4. Step 4: Simplify right side
    261,356.34x = 55,506,849,321.34
  5. Step 5: Solve for x
    x = 55,506,849,321.34/261,356.34
  6. Step 6: Final answer
    x = 212,379.96

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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.