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Finding the Fourth Proportional to 288,931.68, 433,416.53 and 75,704.81

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Solution

The fourth proportional to 288,931.68, 433,416.53 and 75,704.81 is: 113,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,931.68 : 433,416.53 = 75,704.81 : x
  2. Step 2: Convert to fraction form
    288,931.68/433,416.53 = 75,704.81/x
  3. Step 3: Cross multiply
    288,931.68x = 433,416.53 × 75,704.81
  4. Step 4: Simplify right side
    288,931.68x = 32,811,716,054.51
  5. Step 5: Solve for x
    x = 32,811,716,054.51/288,931.68
  6. Step 6: Final answer
    x = 113,562.20

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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.