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Finding the Fourth Proportional to 553,615.70, 830,423.55 and 179,638.70

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Solution

The fourth proportional to 553,615.70, 830,423.55 and 179,638.70 is: 269,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,615.70 : 830,423.55 = 179,638.70 : x
  2. Step 2: Convert to fraction form
    553,615.70/830,423.55 = 179,638.70/x
  3. Step 3: Cross multiply
    553,615.70x = 830,423.55 × 179,638.70
  4. Step 4: Simplify right side
    553,615.70x = 149,176,206,971.39
  5. Step 5: Solve for x
    x = 149,176,206,971.39/553,615.70
  6. Step 6: Final answer
    x = 269,458.05

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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.