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Finding the Fourth Proportional to 307,435.86, 424,263.78 and 171,478.62

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Solution

The fourth proportional to 307,435.86, 424,263.78 and 171,478.62 is: 236,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,435.86 : 424,263.78 = 171,478.62 : x
  2. Step 2: Convert to fraction form
    307,435.86/424,263.78 = 171,478.62/x
  3. Step 3: Cross multiply
    307,435.86x = 424,263.78 × 171,478.62
  4. Step 4: Simplify right side
    307,435.86x = 72,752,167,510.38
  5. Step 5: Solve for x
    x = 72,752,167,510.38/307,435.86
  6. Step 6: Final answer
    x = 236,641.77

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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.