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Finding the Fourth Proportional to 369,989, 510,588.51 and 200,226.77

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Solution

The fourth proportional to 369,989, 510,588.51 and 200,226.77 is: 276,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,989 : 510,588.51 = 200,226.77 : x
  2. Step 2: Convert to fraction form
    369,989/510,588.51 = 200,226.77/x
  3. Step 3: Cross multiply
    369,989x = 510,588.51 × 200,226.77
  4. Step 4: Simplify right side
    369,989x = 102,233,488,156.41
  5. Step 5: Solve for x
    x = 102,233,488,156.41/369,989
  6. Step 6: Final answer
    x = 276,314.94

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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.