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Finding the Fourth Proportional to 261,024, 360,182.56 and 153,570.40

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Solution

The fourth proportional to 261,024, 360,182.56 and 153,570.40 is: 211,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,024 : 360,182.56 = 153,570.40 : x
  2. Step 2: Convert to fraction form
    261,024/360,182.56 = 153,570.40/x
  3. Step 3: Cross multiply
    261,024x = 360,182.56 × 153,570.40
  4. Step 4: Simplify right side
    261,024x = 55,313,379,812.22
  5. Step 5: Solve for x
    x = 55,313,379,812.22/261,024
  6. Step 6: Final answer
    x = 211,909.17

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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.