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Finding the Fourth Proportional to 510,586.02, 704,608.47 and 284,284.98

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Solution

The fourth proportional to 510,586.02, 704,608.47 and 284,284.98 is: 392,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,586.02 : 704,608.47 = 284,284.98 : x
  2. Step 2: Convert to fraction form
    510,586.02/704,608.47 = 284,284.98/x
  3. Step 3: Cross multiply
    510,586.02x = 704,608.47 × 284,284.98
  4. Step 4: Simplify right side
    510,586.02x = 200,309,604,801.78
  5. Step 5: Solve for x
    x = 200,309,604,801.78/510,586.02
  6. Step 6: Final answer
    x = 392,313.14

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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.