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Finding the Fourth Proportional to 211,498.81, 317,247.42 and 51,572.90

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Solution

The fourth proportional to 211,498.81, 317,247.42 and 51,572.90 is: 77,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,498.81 : 317,247.42 = 51,572.90 : x
  2. Step 2: Convert to fraction form
    211,498.81/317,247.42 = 51,572.90/x
  3. Step 3: Cross multiply
    211,498.81x = 317,247.42 × 51,572.90
  4. Step 4: Simplify right side
    211,498.81x = 16,361,369,466.92
  5. Step 5: Solve for x
    x = 16,361,369,466.92/211,498.81
  6. Step 6: Final answer
    x = 77,359.16

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1.5x scale

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.