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Finding the Fourth Proportional to 553,342.20, 830,013.30 and 488,023.80

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Solution

The fourth proportional to 553,342.20, 830,013.30 and 488,023.80 is: 732,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,342.20 : 830,013.30 = 488,023.80 : x
  2. Step 2: Convert to fraction form
    553,342.20/830,013.30 = 488,023.80/x
  3. Step 3: Cross multiply
    553,342.20x = 830,013.30 × 488,023.80
  4. Step 4: Simplify right side
    553,342.20x = 405,066,244,716.54
  5. Step 5: Solve for x
    x = 405,066,244,716.54/553,342.20
  6. Step 6: Final answer
    x = 732,035.70

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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.