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Finding the Fourth Proportional to 553,802.76, 830,704.05 and 133,078.64

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Solution

The fourth proportional to 553,802.76, 830,704.05 and 133,078.64 is: 199,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,802.76 : 830,704.05 = 133,078.64 : x
  2. Step 2: Convert to fraction form
    553,802.76/830,704.05 = 133,078.64/x
  3. Step 3: Cross multiply
    553,802.76x = 830,704.05 × 133,078.64
  4. Step 4: Simplify right side
    553,802.76x = 110,548,961,062.97
  5. Step 5: Solve for x
    x = 110,548,961,062.97/553,802.76
  6. Step 6: Final answer
    x = 199,617.93

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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.