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Finding the Fourth Proportional to 553,894.42, 830,841.64 and 133,170.30

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Solution

The fourth proportional to 553,894.42, 830,841.64 and 133,170.30 is: 199,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,894.42 : 830,841.64 = 133,170.30 : x
  2. Step 2: Convert to fraction form
    553,894.42/830,841.64 = 133,170.30/x
  3. Step 3: Cross multiply
    553,894.42x = 830,841.64 × 133,170.30
  4. Step 4: Simplify right side
    553,894.42x = 110,643,430,451.29
  5. Step 5: Solve for x
    x = 110,643,430,451.29/553,894.42
  6. Step 6: Final answer
    x = 199,755.45

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1.5x scale

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.