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Finding the Fourth Proportional to 313,045.47, 432,010.50 and 177,072.78

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Solution

The fourth proportional to 313,045.47, 432,010.50 and 177,072.78 is: 244,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,045.47 : 432,010.50 = 177,072.78 : x
  2. Step 2: Convert to fraction form
    313,045.47/432,010.50 = 177,072.78/x
  3. Step 3: Cross multiply
    313,045.47x = 432,010.50 × 177,072.78
  4. Step 4: Simplify right side
    313,045.47x = 76,497,300,224.19
  5. Step 5: Solve for x
    x = 76,497,300,224.19/313,045.47
  6. Step 6: Final answer
    x = 244,364.82

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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.