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Finding the Fourth Proportional to 261,572.21, 360,957.34 and 145,293.22

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Solution

The fourth proportional to 261,572.21, 360,957.34 and 145,293.22 is: 200,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,572.21 : 360,957.34 = 145,293.22 : x
  2. Step 2: Convert to fraction form
    261,572.21/360,957.34 = 145,293.22/x
  3. Step 3: Cross multiply
    261,572.21x = 360,957.34 × 145,293.22
  4. Step 4: Simplify right side
    261,572.21x = 52,444,654,211.23
  5. Step 5: Solve for x
    x = 52,444,654,211.23/261,572.21
  6. Step 6: Final answer
    x = 200,497.81

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1.5x scale

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.