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Finding the Fourth Proportional to 553,734.30, 830,648.35 and 154,375.46

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Solution

The fourth proportional to 553,734.30, 830,648.35 and 154,375.46 is: 231,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,734.30 : 830,648.35 = 154,375.46 : x
  2. Step 2: Convert to fraction form
    553,734.30/830,648.35 = 154,375.46/x
  3. Step 3: Cross multiply
    553,734.30x = 830,648.35 × 154,375.46
  4. Step 4: Simplify right side
    553,734.30x = 128,231,716,590.31
  5. Step 5: Solve for x
    x = 128,231,716,590.31/553,734.30
  6. Step 6: Final answer
    x = 231,576.26

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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.