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Finding the Fourth Proportional to 309,485.42, 464,361.76 and 167,430.76

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Solution

The fourth proportional to 309,485.42, 464,361.76 and 167,430.76 is: 251,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,485.42 : 464,361.76 = 167,430.76 : x
  2. Step 2: Convert to fraction form
    309,485.42/464,361.76 = 167,430.76/x
  3. Step 3: Cross multiply
    309,485.42x = 464,361.76 × 167,430.76
  4. Step 4: Simplify right side
    309,485.42x = 77,748,442,391.74
  5. Step 5: Solve for x
    x = 77,748,442,391.74/309,485.42
  6. Step 6: Final answer
    x = 251,218.43

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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.