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Finding the Fourth Proportional to 316,114.04, 474,420.15 and 138,743.48

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Solution

The fourth proportional to 316,114.04, 474,420.15 and 138,743.48 is: 208,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,114.04 : 474,420.15 = 138,743.48 : x
  2. Step 2: Convert to fraction form
    316,114.04/474,420.15 = 138,743.48/x
  3. Step 3: Cross multiply
    316,114.04x = 474,420.15 × 138,743.48
  4. Step 4: Simplify right side
    316,114.04x = 65,822,700,221.02
  5. Step 5: Solve for x
    x = 65,822,700,221.02/316,114.04
  6. Step 6: Final answer
    x = 208,224.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.