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Finding the Fourth Proportional to 261,298, 360,580.80 and 153,872.56

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Solution

The fourth proportional to 261,298, 360,580.80 and 153,872.56 is: 212,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,298 : 360,580.80 = 153,872.56 : x
  2. Step 2: Convert to fraction form
    261,298/360,580.80 = 153,872.56/x
  3. Step 3: Cross multiply
    261,298x = 360,580.80 × 153,872.56
  4. Step 4: Simplify right side
    261,298x = 55,483,490,782.85
  5. Step 5: Solve for x
    x = 55,483,490,782.85/261,298
  6. Step 6: Final answer
    x = 212,337.98

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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.