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Finding the Fourth Proportional to 315,649.92, 473,476.68 and 105,287.24

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Solution

The fourth proportional to 315,649.92, 473,476.68 and 105,287.24 is: 157,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,649.92 : 473,476.68 = 105,287.24 : x
  2. Step 2: Convert to fraction form
    315,649.92/473,476.68 = 105,287.24/x
  3. Step 3: Cross multiply
    315,649.92x = 473,476.68 × 105,287.24
  4. Step 4: Simplify right side
    315,649.92x = 49,851,052,841.56
  5. Step 5: Solve for x
    x = 49,851,052,841.56/315,649.92
  6. Step 6: Final answer
    x = 157,931.46

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1.5x scale

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.