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Finding the Fourth Proportional to 315,729.81, 473,263.92 and 147,111.08

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Solution

The fourth proportional to 315,729.81, 473,263.92 and 147,111.08 is: 220,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,729.81 : 473,263.92 = 147,111.08 : x
  2. Step 2: Convert to fraction form
    315,729.81/473,263.92 = 147,111.08/x
  3. Step 3: Cross multiply
    315,729.81x = 473,263.92 × 147,111.08
  4. Step 4: Simplify right side
    315,729.81x = 69,622,364,029.91
  5. Step 5: Solve for x
    x = 69,622,364,029.91/315,729.81
  6. Step 6: Final answer
    x = 220,512.48

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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.