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Finding the Fourth Proportional to 210,765.92, 290,724 and 147,080.48

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Solution

The fourth proportional to 210,765.92, 290,724 and 147,080.48 is: 202,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,765.92 : 290,724 = 147,080.48 : x
  2. Step 2: Convert to fraction form
    210,765.92/290,724 = 147,080.48/x
  3. Step 3: Cross multiply
    210,765.92x = 290,724 × 147,080.48
  4. Step 4: Simplify right side
    210,765.92x = 42,759,825,467.52
  5. Step 5: Solve for x
    x = 42,759,825,467.52/210,765.92
  6. Step 6: Final answer
    x = 202,878.27

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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.