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Finding the Fourth Proportional to 486,161.40, 729,674.10 and 286,231.80

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Solution

The fourth proportional to 486,161.40, 729,674.10 and 286,231.80 is: 429,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,161.40 : 729,674.10 = 286,231.80 : x
  2. Step 2: Convert to fraction form
    486,161.40/729,674.10 = 286,231.80/x
  3. Step 3: Cross multiply
    486,161.40x = 729,674.10 × 286,231.80
  4. Step 4: Simplify right side
    486,161.40x = 208,855,931,056.38
  5. Step 5: Solve for x
    x = 208,855,931,056.38/486,161.40
  6. Step 6: Final answer
    x = 429,602.04

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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.