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Finding the Fourth Proportional to 312,715.98, 469,073.16 and 219,637.26

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Solution

The fourth proportional to 312,715.98, 469,073.16 and 219,637.26 is: 329,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,715.98 : 469,073.16 = 219,637.26 : x
  2. Step 2: Convert to fraction form
    312,715.98/469,073.16 = 219,637.26/x
  3. Step 3: Cross multiply
    312,715.98x = 469,073.16 × 219,637.26
  4. Step 4: Simplify right side
    312,715.98x = 103,025,943,601.94
  5. Step 5: Solve for x
    x = 103,025,943,601.94/312,715.98
  6. Step 6: Final answer
    x = 329,455.32

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1.5x scale

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.