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Finding the Fourth Proportional to 305,219.16, 457,681.01 and 105,469.47

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Solution

The fourth proportional to 305,219.16, 457,681.01 and 105,469.47 is: 158,153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,219.16 : 457,681.01 = 105,469.47 : x
  2. Step 2: Convert to fraction form
    305,219.16/457,681.01 = 105,469.47/x
  3. Step 3: Cross multiply
    305,219.16x = 457,681.01 × 105,469.47
  4. Step 4: Simplify right side
    305,219.16x = 48,271,373,026.42
  5. Step 5: Solve for x
    x = 48,271,373,026.42/305,219.16
  6. Step 6: Final answer
    x = 158,153.15

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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.