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Finding the Fourth Proportional to 305,203.40, 457,805.10 and 155,904.20

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Solution

The fourth proportional to 305,203.40, 457,805.10 and 155,904.20 is: 233,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,203.40 : 457,805.10 = 155,904.20 : x
  2. Step 2: Convert to fraction form
    305,203.40/457,805.10 = 155,904.20/x
  3. Step 3: Cross multiply
    305,203.40x = 457,805.10 × 155,904.20
  4. Step 4: Simplify right side
    305,203.40x = 71,373,737,871.42
  5. Step 5: Solve for x
    x = 71,373,737,871.42/305,203.40
  6. Step 6: Final answer
    x = 233,856.30

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1.5x scale

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.