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Finding the Fourth Proportional to 281,470.92, 388,430.46 and 152,410.80

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Solution

The fourth proportional to 281,470.92, 388,430.46 and 152,410.80 is: 210,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,470.92 : 388,430.46 = 152,410.80 : x
  2. Step 2: Convert to fraction form
    281,470.92/388,430.46 = 152,410.80/x
  3. Step 3: Cross multiply
    281,470.92x = 388,430.46 × 152,410.80
  4. Step 4: Simplify right side
    281,470.92x = 59,200,997,152.97
  5. Step 5: Solve for x
    x = 59,200,997,152.97/281,470.92
  6. Step 6: Final answer
    x = 210,327.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.