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Finding the Fourth Proportional to 288,123.42, 397,632.84 and 160,818.12

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Solution

The fourth proportional to 288,123.42, 397,632.84 and 160,818.12 is: 221,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,123.42 : 397,632.84 = 160,818.12 : x
  2. Step 2: Convert to fraction form
    288,123.42/397,632.84 = 160,818.12/x
  3. Step 3: Cross multiply
    288,123.42x = 397,632.84 × 160,818.12
  4. Step 4: Simplify right side
    288,123.42x = 63,946,565,779.06
  5. Step 5: Solve for x
    x = 63,946,565,779.06/288,123.42
  6. Step 6: Final answer
    x = 221,941.58

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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.