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Finding the Fourth Proportional to 514,089.80, 709,483.88 and 284,668.44

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Solution

The fourth proportional to 514,089.80, 709,483.88 and 284,668.44 is: 392,864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,089.80 : 709,483.88 = 284,668.44 : x
  2. Step 2: Convert to fraction form
    514,089.80/709,483.88 = 284,668.44/x
  3. Step 3: Cross multiply
    514,089.80x = 709,483.88 × 284,668.44
  4. Step 4: Simplify right side
    514,089.80x = 201,967,669,765.44
  5. Step 5: Solve for x
    x = 201,967,669,765.44/514,089.80
  6. Step 6: Final answer
    x = 392,864.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.