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Finding the Fourth Proportional to 510,669, 704,745.09 and 284,314.50

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Solution

The fourth proportional to 510,669, 704,745.09 and 284,314.50 is: 392,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,669 : 704,745.09 = 284,314.50 : x
  2. Step 2: Convert to fraction form
    510,669/704,745.09 = 284,314.50/x
  3. Step 3: Cross multiply
    510,669x = 704,745.09 × 284,314.50
  4. Step 4: Simplify right side
    510,669x = 200,369,247,890.81
  5. Step 5: Solve for x
    x = 200,369,247,890.81/510,669
  6. Step 6: Final answer
    x = 392,366.19

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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.