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Finding the Fourth Proportional to 312,486.40, 431,257.76 and 176,545.28

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Solution

The fourth proportional to 312,486.40, 431,257.76 and 176,545.28 is: 243,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,486.40 : 431,257.76 = 176,545.28 : x
  2. Step 2: Convert to fraction form
    312,486.40/431,257.76 = 176,545.28/x
  3. Step 3: Cross multiply
    312,486.40x = 431,257.76 × 176,545.28
  4. Step 4: Simplify right side
    312,486.40x = 76,136,521,991.37
  5. Step 5: Solve for x
    x = 76,136,521,991.37/312,486.40
  6. Step 6: Final answer
    x = 243,647.47

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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.