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Finding the Fourth Proportional to 310,427.52, 428,507.01 and 181,407.89

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Solution

The fourth proportional to 310,427.52, 428,507.01 and 181,407.89 is: 250,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,427.52 : 428,507.01 = 181,407.89 : x
  2. Step 2: Convert to fraction form
    310,427.52/428,507.01 = 181,407.89/x
  3. Step 3: Cross multiply
    310,427.52x = 428,507.01 × 181,407.89
  4. Step 4: Simplify right side
    310,427.52x = 77,734,550,391.77
  5. Step 5: Solve for x
    x = 77,734,550,391.77/310,427.52
  6. Step 6: Final answer
    x = 250,411.27

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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.