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Finding the Fourth Proportional to 553,811.69, 830,705.61 and 154,441.82

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Solution

The fourth proportional to 553,811.69, 830,705.61 and 154,441.82 is: 231,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,811.69 : 830,705.61 = 154,441.82 : x
  2. Step 2: Convert to fraction form
    553,811.69/830,705.61 = 154,441.82/x
  3. Step 3: Cross multiply
    553,811.69x = 830,705.61 × 154,441.82
  4. Step 4: Simplify right side
    553,811.69x = 128,295,686,292.61
  5. Step 5: Solve for x
    x = 128,295,686,292.61/553,811.69
  6. Step 6: Final answer
    x = 231,659.40

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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.