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Finding the Fourth Proportional to 369,997.74, 510,542.14 and 216,978.20

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Solution

The fourth proportional to 369,997.74, 510,542.14 and 216,978.20 is: 299,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,997.74 : 510,542.14 = 216,978.20 : x
  2. Step 2: Convert to fraction form
    369,997.74/510,542.14 = 216,978.20/x
  3. Step 3: Cross multiply
    369,997.74x = 510,542.14 × 216,978.20
  4. Step 4: Simplify right side
    369,997.74x = 110,776,514,561.35
  5. Step 5: Solve for x
    x = 110,776,514,561.35/369,997.74
  6. Step 6: Final answer
    x = 299,397.81

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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.