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Finding the Fourth Proportional to 660,991.42, 991,310.01 and 286,925.50

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Solution

The fourth proportional to 660,991.42, 991,310.01 and 286,925.50 is: 430,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,991.42 : 991,310.01 = 286,925.50 : x
  2. Step 2: Convert to fraction form
    660,991.42/991,310.01 = 286,925.50/x
  3. Step 3: Cross multiply
    660,991.42x = 991,310.01 × 286,925.50
  4. Step 4: Simplify right side
    660,991.42x = 284,432,120,274.26
  5. Step 5: Solve for x
    x = 284,432,120,274.26/660,991.42
  6. Step 6: Final answer
    x = 430,311.37

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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.