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Finding the Fourth Proportional to 553,464.60, 830,438.13 and 193,893.40

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Solution

The fourth proportional to 553,464.60, 830,438.13 and 193,893.40 is: 290,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,464.60 : 830,438.13 = 193,893.40 : x
  2. Step 2: Convert to fraction form
    553,464.60/830,438.13 = 193,893.40/x
  3. Step 3: Cross multiply
    553,464.60x = 830,438.13 × 193,893.40
  4. Step 4: Simplify right side
    553,464.60x = 161,016,474,280.49
  5. Step 5: Solve for x
    x = 161,016,474,280.49/553,464.60
  6. Step 6: Final answer
    x = 290,924.61

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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.