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Finding the Fourth Proportional to 553,894.92, 830,842.38 and 133,170.81

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Solution

The fourth proportional to 553,894.92, 830,842.38 and 133,170.81 is: 199,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,894.92 : 830,842.38 = 133,170.81 : x
  2. Step 2: Convert to fraction form
    553,894.92/830,842.38 = 133,170.81/x
  3. Step 3: Cross multiply
    553,894.92x = 830,842.38 × 133,170.81
  4. Step 4: Simplify right side
    553,894.92x = 110,643,952,726.93
  5. Step 5: Solve for x
    x = 110,643,952,726.93/553,894.92
  6. Step 6: Final answer
    x = 199,756.22

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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.