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Finding the Fourth Proportional to 354,820, 489,733.88 and 233,983.12

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Solution

The fourth proportional to 354,820, 489,733.88 and 233,983.12 is: 322,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,820 : 489,733.88 = 233,983.12 : x
  2. Step 2: Convert to fraction form
    354,820/489,733.88 = 233,983.12/x
  3. Step 3: Cross multiply
    354,820x = 489,733.88 × 233,983.12
  4. Step 4: Simplify right side
    354,820x = 114,589,461,212.11
  5. Step 5: Solve for x
    x = 114,589,461,212.11/354,820
  6. Step 6: Final answer
    x = 322,950.96

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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.