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Finding the Fourth Proportional to 283,176.42, 424,266.30 and 266,319.81

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Solution

The fourth proportional to 283,176.42, 424,266.30 and 266,319.81 is: 399,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,176.42 : 424,266.30 = 266,319.81 : x
  2. Step 2: Convert to fraction form
    283,176.42/424,266.30 = 266,319.81/x
  3. Step 3: Cross multiply
    283,176.42x = 424,266.30 × 266,319.81
  4. Step 4: Simplify right side
    283,176.42x = 112,990,520,405.40
  5. Step 5: Solve for x
    x = 112,990,520,405.40/283,176.42
  6. Step 6: Final answer
    x = 399,011.05

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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.