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Finding the Fourth Proportional to 553,742.80, 830,806.92 and 174,722.02

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Solution

The fourth proportional to 553,742.80, 830,806.92 and 174,722.02 is: 262,143.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,742.80 : 830,806.92 = 174,722.02 : x
  2. Step 2: Convert to fraction form
    553,742.80/830,806.92 = 174,722.02/x
  3. Step 3: Cross multiply
    553,742.80x = 830,806.92 × 174,722.02
  4. Step 4: Simplify right side
    553,742.80x = 145,160,263,292.38
  5. Step 5: Solve for x
    x = 145,160,263,292.38/553,742.80
  6. Step 6: Final answer
    x = 262,143.84

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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.