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Finding the Fourth Proportional to 305,111.01, 457,645.99 and 105,434.13

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Solution

The fourth proportional to 305,111.01, 457,645.99 and 105,434.13 is: 158,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,111.01 : 457,645.99 = 105,434.13 : x
  2. Step 2: Convert to fraction form
    305,111.01/457,645.99 = 105,434.13/x
  3. Step 3: Cross multiply
    305,111.01x = 457,645.99 × 105,434.13
  4. Step 4: Simplify right side
    305,111.01x = 48,251,506,803.64
  5. Step 5: Solve for x
    x = 48,251,506,803.64/305,111.01
  6. Step 6: Final answer
    x = 158,144.10

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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.