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Finding the Fourth Proportional to 553,801.92, 830,690.96 and 154,432.08

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Solution

The fourth proportional to 553,801.92, 830,690.96 and 154,432.08 is: 231,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,801.92 : 830,690.96 = 154,432.08 : x
  2. Step 2: Convert to fraction form
    553,801.92/830,690.96 = 154,432.08/x
  3. Step 3: Cross multiply
    553,801.92x = 830,690.96 × 154,432.08
  4. Step 4: Simplify right side
    553,801.92x = 128,285,332,790.00
  5. Step 5: Solve for x
    x = 128,285,332,790.00/553,801.92
  6. Step 6: Final answer
    x = 231,644.80

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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.