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Finding the Fourth Proportional to 553,830.57, 830,745.65 and 133,106.45

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Solution

The fourth proportional to 553,830.57, 830,745.65 and 133,106.45 is: 199,659.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,830.57 : 830,745.65 = 133,106.45 : x
  2. Step 2: Convert to fraction form
    553,830.57/830,745.65 = 133,106.45/x
  3. Step 3: Cross multiply
    553,830.57x = 830,745.65 × 133,106.45
  4. Step 4: Simplify right side
    553,830.57x = 110,577,600,503.48
  5. Step 5: Solve for x
    x = 110,577,600,503.48/553,830.57
  6. Step 6: Final answer
    x = 199,659.62

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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.