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Finding the Fourth Proportional to 585,938.80, 879,491.40 and 286,757.20

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Solution

The fourth proportional to 585,938.80, 879,491.40 and 286,757.20 is: 430,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,938.80 : 879,491.40 = 286,757.20 : x
  2. Step 2: Convert to fraction form
    585,938.80/879,491.40 = 286,757.20/x
  3. Step 3: Cross multiply
    585,938.80x = 879,491.40 × 286,757.20
  4. Step 4: Simplify right side
    585,938.80x = 252,200,491,288.08
  5. Step 5: Solve for x
    x = 252,200,491,288.08/585,938.80
  6. Step 6: Final answer
    x = 430,421.22

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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.