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Finding the Fourth Proportional to 553,892.42, 830,838.64 and 133,168.30

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Solution

The fourth proportional to 553,892.42, 830,838.64 and 133,168.30 is: 199,752.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,892.42 : 830,838.64 = 133,168.30 : x
  2. Step 2: Convert to fraction form
    553,892.42/830,838.64 = 133,168.30/x
  3. Step 3: Cross multiply
    553,892.42x = 830,838.64 × 133,168.30
  4. Step 4: Simplify right side
    553,892.42x = 110,641,364,443.08
  5. Step 5: Solve for x
    x = 110,641,364,443.08/553,892.42
  6. Step 6: Final answer
    x = 199,752.44

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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.