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Finding the Fourth Proportional to 294,985.47, 407,114.88 and 167,680.20

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Solution

The fourth proportional to 294,985.47, 407,114.88 and 167,680.20 is: 231,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,985.47 : 407,114.88 = 167,680.20 : x
  2. Step 2: Convert to fraction form
    294,985.47/407,114.88 = 167,680.20/x
  3. Step 3: Cross multiply
    294,985.47x = 407,114.88 × 167,680.20
  4. Step 4: Simplify right side
    294,985.47x = 68,265,104,501.38
  5. Step 5: Solve for x
    x = 68,265,104,501.38/294,985.47
  6. Step 6: Final answer
    x = 231,418.53

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1.5x scale

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.