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Finding the Fourth Proportional to 305,203.86, 457,341.03 and 155,219.40

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Solution

The fourth proportional to 305,203.86, 457,341.03 and 155,219.40 is: 232,592.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,203.86 : 457,341.03 = 155,219.40 : x
  2. Step 2: Convert to fraction form
    305,203.86/457,341.03 = 155,219.40/x
  3. Step 3: Cross multiply
    305,203.86x = 457,341.03 × 155,219.40
  4. Step 4: Simplify right side
    305,203.86x = 70,988,200,271.98
  5. Step 5: Solve for x
    x = 70,988,200,271.98/305,203.86
  6. Step 6: Final answer
    x = 232,592.73

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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.