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Finding the Fourth Proportional to 305,013.42, 420,918.48 and 170,877.42

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Solution

The fourth proportional to 305,013.42, 420,918.48 and 170,877.42 is: 235,810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,013.42 : 420,918.48 = 170,877.42 : x
  2. Step 2: Convert to fraction form
    305,013.42/420,918.48 = 170,877.42/x
  3. Step 3: Cross multiply
    305,013.42x = 420,918.48 × 170,877.42
  4. Step 4: Simplify right side
    305,013.42x = 71,925,463,892.72
  5. Step 5: Solve for x
    x = 71,925,463,892.72/305,013.42
  6. Step 6: Final answer
    x = 235,810.82

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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.