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Finding the Fourth Proportional to 580,271.40, 869,715.90 and 243,311.40

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Solution

The fourth proportional to 580,271.40, 869,715.90 and 243,311.40 is: 364,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,271.40 : 869,715.90 = 243,311.40 : x
  2. Step 2: Convert to fraction form
    580,271.40/869,715.90 = 243,311.40/x
  3. Step 3: Cross multiply
    580,271.40x = 869,715.90 × 243,311.40
  4. Step 4: Simplify right side
    580,271.40x = 211,611,793,231.26
  5. Step 5: Solve for x
    x = 211,611,793,231.26/580,271.40
  6. Step 6: Final answer
    x = 364,677.28

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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.