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Finding the Fourth Proportional to 216,784.60, 299,031.78 and 143,197.48

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Solution

The fourth proportional to 216,784.60, 299,031.78 and 143,197.48 is: 197,526.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,784.60 : 299,031.78 = 143,197.48 : x
  2. Step 2: Convert to fraction form
    216,784.60/299,031.78 = 143,197.48/x
  3. Step 3: Cross multiply
    216,784.60x = 299,031.78 × 143,197.48
  4. Step 4: Simplify right side
    216,784.60x = 42,820,597,335.91
  5. Step 5: Solve for x
    x = 42,820,597,335.91/216,784.60
  6. Step 6: Final answer
    x = 197,526.01

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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.