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Finding the Fourth Proportional to 340,666.80, 470,120.32 and 197,509.92

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Solution

The fourth proportional to 340,666.80, 470,120.32 and 197,509.92 is: 272,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,666.80 : 470,120.32 = 197,509.92 : x
  2. Step 2: Convert to fraction form
    340,666.80/470,120.32 = 197,509.92/x
  3. Step 3: Cross multiply
    340,666.80x = 470,120.32 × 197,509.92
  4. Step 4: Simplify right side
    340,666.80x = 92,853,426,793.57
  5. Step 5: Solve for x
    x = 92,853,426,793.57/340,666.80
  6. Step 6: Final answer
    x = 272,563.77

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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.