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Finding the Fourth Proportional to 315,786, 473,912.28 and 149,574

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Solution

The fourth proportional to 315,786, 473,912.28 and 149,574 is: 224,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,786 : 473,912.28 = 149,574 : x
  2. Step 2: Convert to fraction form
    315,786/473,912.28 = 149,574/x
  3. Step 3: Cross multiply
    315,786x = 473,912.28 × 149,574
  4. Step 4: Simplify right side
    315,786x = 70,884,955,368.72
  5. Step 5: Solve for x
    x = 70,884,955,368.72/315,786
  6. Step 6: Final answer
    x = 224,471.49

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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.