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Finding the Fourth Proportional to 565,249.34, 847,998.60 and 312,897.89

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Solution

The fourth proportional to 565,249.34, 847,998.60 and 312,897.89 is: 469,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,249.34 : 847,998.60 = 312,897.89 : x
  2. Step 2: Convert to fraction form
    565,249.34/847,998.60 = 312,897.89/x
  3. Step 3: Cross multiply
    565,249.34x = 847,998.60 × 312,897.89
  4. Step 4: Simplify right side
    565,249.34x = 265,336,974,782.95
  5. Step 5: Solve for x
    x = 265,336,974,782.95/565,249.34
  6. Step 6: Final answer
    x = 469,415.80

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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.