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Finding the Fourth Proportional to 312,617.04, 431,405.90 and 176,648.05

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Solution

The fourth proportional to 312,617.04, 431,405.90 and 176,648.05 is: 243,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,617.04 : 431,405.90 = 176,648.05 : x
  2. Step 2: Convert to fraction form
    312,617.04/431,405.90 = 176,648.05/x
  3. Step 3: Cross multiply
    312,617.04x = 431,405.90 × 176,648.05
  4. Step 4: Simplify right side
    312,617.04x = 76,207,010,649.51
  5. Step 5: Solve for x
    x = 76,207,010,649.51/312,617.04
  6. Step 6: Final answer
    x = 243,771.13

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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.