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Finding the Fourth Proportional to 288,072.64, 397,539.66 and 160,740.64

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Solution

The fourth proportional to 288,072.64, 397,539.66 and 160,740.64 is: 221,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,072.64 : 397,539.66 = 160,740.64 : x
  2. Step 2: Convert to fraction form
    288,072.64/397,539.66 = 160,740.64/x
  3. Step 3: Cross multiply
    288,072.64x = 397,539.66 × 160,740.64
  4. Step 4: Simplify right side
    288,072.64x = 63,900,779,373.78
  5. Step 5: Solve for x
    x = 63,900,779,373.78/288,072.64
  6. Step 6: Final answer
    x = 221,821.76

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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.