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Finding the Fourth Proportional to 706,820.67, 975,339.72 and 420,285.42

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Solution

The fourth proportional to 706,820.67, 975,339.72 and 420,285.42 is: 579,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,820.67 : 975,339.72 = 420,285.42 : x
  2. Step 2: Convert to fraction form
    706,820.67/975,339.72 = 420,285.42/x
  3. Step 3: Cross multiply
    706,820.67x = 975,339.72 × 420,285.42
  4. Step 4: Simplify right side
    706,820.67x = 409,921,063,862.88
  5. Step 5: Solve for x
    x = 409,921,063,862.88/706,820.67
  6. Step 6: Final answer
    x = 579,950.59

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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.