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Finding the Fourth Proportional to 305,792.74, 457,990.75 and 145,981.09

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Solution

The fourth proportional to 305,792.74, 457,990.75 and 145,981.09 is: 218,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,792.74 : 457,990.75 = 145,981.09 : x
  2. Step 2: Convert to fraction form
    305,792.74/457,990.75 = 145,981.09/x
  3. Step 3: Cross multiply
    305,792.74x = 457,990.75 × 145,981.09
  4. Step 4: Simplify right side
    305,792.74x = 66,857,988,894.92
  5. Step 5: Solve for x
    x = 66,857,988,894.92/305,792.74
  6. Step 6: Final answer
    x = 218,638.25

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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.