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Finding the Fourth Proportional to 307,768.65, 424,543.28 and 185,176.06

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Solution

The fourth proportional to 307,768.65, 424,543.28 and 185,176.06 is: 255,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,768.65 : 424,543.28 = 185,176.06 : x
  2. Step 2: Convert to fraction form
    307,768.65/424,543.28 = 185,176.06/x
  3. Step 3: Cross multiply
    307,768.65x = 424,543.28 × 185,176.06
  4. Step 4: Simplify right side
    307,768.65x = 78,615,249,902.64
  5. Step 5: Solve for x
    x = 78,615,249,902.64/307,768.65
  6. Step 6: Final answer
    x = 255,436.19

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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.