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Finding the Fourth Proportional to 523,911.12, 786,011.64 and 208,589.36

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Solution

The fourth proportional to 523,911.12, 786,011.64 and 208,589.36 is: 312,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,911.12 : 786,011.64 = 208,589.36 : x
  2. Step 2: Convert to fraction form
    523,911.12/786,011.64 = 208,589.36/x
  3. Step 3: Cross multiply
    523,911.12x = 786,011.64 × 208,589.36
  4. Step 4: Simplify right side
    523,911.12x = 163,953,664,940.15
  5. Step 5: Solve for x
    x = 163,953,664,940.15/523,911.12
  6. Step 6: Final answer
    x = 312,941.75

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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.