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Finding the Fourth Proportional to 553,461.80, 830,193.30 and 154,103.45

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Solution

The fourth proportional to 553,461.80, 830,193.30 and 154,103.45 is: 231,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,461.80 : 830,193.30 = 154,103.45 : x
  2. Step 2: Convert to fraction form
    553,461.80/830,193.30 = 154,103.45/x
  3. Step 3: Cross multiply
    553,461.80x = 830,193.30 × 154,103.45
  4. Step 4: Simplify right side
    553,461.80x = 127,935,647,545.92
  5. Step 5: Solve for x
    x = 127,935,647,545.92/553,461.80
  6. Step 6: Final answer
    x = 231,155.34

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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.