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Finding the Fourth Proportional to 357,339.71, 493,129.77 and 196,205.21

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Solution

The fourth proportional to 357,339.71, 493,129.77 and 196,205.21 is: 270,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,339.71 : 493,129.77 = 196,205.21 : x
  2. Step 2: Convert to fraction form
    357,339.71/493,129.77 = 196,205.21/x
  3. Step 3: Cross multiply
    357,339.71x = 493,129.77 × 196,205.21
  4. Step 4: Simplify right side
    357,339.71x = 96,754,630,080.10
  5. Step 5: Solve for x
    x = 96,754,630,080.10/357,339.71
  6. Step 6: Final answer
    x = 270,763.72

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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.