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Finding the Fourth Proportional to 288,989.40, 433,559.70 and 111,502.20

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Solution

The fourth proportional to 288,989.40, 433,559.70 and 111,502.20 is: 167,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,989.40 : 433,559.70 = 111,502.20 : x
  2. Step 2: Convert to fraction form
    288,989.40/433,559.70 = 111,502.20/x
  3. Step 3: Cross multiply
    288,989.40x = 433,559.70 × 111,502.20
  4. Step 4: Simplify right side
    288,989.40x = 48,342,860,381.34
  5. Step 5: Solve for x
    x = 48,342,860,381.34/288,989.40
  6. Step 6: Final answer
    x = 167,282.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.