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Finding the Fourth Proportional to 509,205.38, 702,715.16 and 279,776.98

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Solution

The fourth proportional to 509,205.38, 702,715.16 and 279,776.98 is: 386,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,205.38 : 702,715.16 = 279,776.98 : x
  2. Step 2: Convert to fraction form
    509,205.38/702,715.16 = 279,776.98/x
  3. Step 3: Cross multiply
    509,205.38x = 702,715.16 × 279,776.98
  4. Step 4: Simplify right side
    509,205.38x = 196,603,525,265.02
  5. Step 5: Solve for x
    x = 196,603,525,265.02/509,205.38
  6. Step 6: Final answer
    x = 386,098.68

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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.