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Finding the Fourth Proportional to 288,062.64, 397,486.80 and 160,713.60

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Solution

The fourth proportional to 288,062.64, 397,486.80 and 160,713.60 is: 221,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,062.64 : 397,486.80 = 160,713.60 : x
  2. Step 2: Convert to fraction form
    288,062.64/397,486.80 = 160,713.60/x
  3. Step 3: Cross multiply
    288,062.64x = 397,486.80 × 160,713.60
  4. Step 4: Simplify right side
    288,062.64x = 63,881,534,580.48
  5. Step 5: Solve for x
    x = 63,881,534,580.48/288,062.64
  6. Step 6: Final answer
    x = 221,762.65

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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.