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Finding the Fourth Proportional to 315,506.53, 435,398.76 and 172,266.56

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Solution

The fourth proportional to 315,506.53, 435,398.76 and 172,266.56 is: 237,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,506.53 : 435,398.76 = 172,266.56 : x
  2. Step 2: Convert to fraction form
    315,506.53/435,398.76 = 172,266.56/x
  3. Step 3: Cross multiply
    315,506.53x = 435,398.76 × 172,266.56
  4. Step 4: Simplify right side
    315,506.53x = 75,004,648,518.34
  5. Step 5: Solve for x
    x = 75,004,648,518.34/315,506.53
  6. Step 6: Final answer
    x = 237,727.72

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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.