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Finding the Fourth Proportional to 513,573.12, 708,433.92 and 309,484.80

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Solution

The fourth proportional to 513,573.12, 708,433.92 and 309,484.80 is: 426,910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,573.12 : 708,433.92 = 309,484.80 : x
  2. Step 2: Convert to fraction form
    513,573.12/708,433.92 = 309,484.80/x
  3. Step 3: Cross multiply
    513,573.12x = 708,433.92 × 309,484.80
  4. Step 4: Simplify right side
    513,573.12x = 219,249,530,044.42
  5. Step 5: Solve for x
    x = 219,249,530,044.42/513,573.12
  6. Step 6: Final answer
    x = 426,910.06

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1.5x scale

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.