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Finding the Fourth Proportional to 233,070.64, 321,662.18 and 142,479.64

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Solution

The fourth proportional to 233,070.64, 321,662.18 and 142,479.64 is: 196,637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,070.64 : 321,662.18 = 142,479.64 : x
  2. Step 2: Convert to fraction form
    233,070.64/321,662.18 = 142,479.64/x
  3. Step 3: Cross multiply
    233,070.64x = 321,662.18 × 142,479.64
  4. Step 4: Simplify right side
    233,070.64x = 45,830,311,608.02
  5. Step 5: Solve for x
    x = 45,830,311,608.02/233,070.64
  6. Step 6: Final answer
    x = 196,637.00

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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.