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Finding the Fourth Proportional to 305,981.84, 457,989.96 and 163,470.80

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Solution

The fourth proportional to 305,981.84, 457,989.96 and 163,470.80 is: 244,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,981.84 : 457,989.96 = 163,470.80 : x
  2. Step 2: Convert to fraction form
    305,981.84/457,989.96 = 163,470.80/x
  3. Step 3: Cross multiply
    305,981.84x = 457,989.96 × 163,470.80
  4. Step 4: Simplify right side
    305,981.84x = 74,867,985,153.17
  5. Step 5: Solve for x
    x = 74,867,985,153.17/305,981.84
  6. Step 6: Final answer
    x = 244,681.14

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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.