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Finding the Fourth Proportional to 720,197.82, 993,977.10 and 429,821.70

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Solution

The fourth proportional to 720,197.82, 993,977.10 and 429,821.70 is: 593,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,197.82 : 993,977.10 = 429,821.70 : x
  2. Step 2: Convert to fraction form
    720,197.82/993,977.10 = 429,821.70/x
  3. Step 3: Cross multiply
    720,197.82x = 993,977.10 × 429,821.70
  4. Step 4: Simplify right side
    720,197.82x = 427,232,926,883.07
  5. Step 5: Solve for x
    x = 427,232,926,883.07/720,197.82
  6. Step 6: Final answer
    x = 593,216.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.