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Finding the Fourth Proportional to 284,486.31, 426,726.41 and 164,466.90

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Solution

The fourth proportional to 284,486.31, 426,726.41 and 164,466.90 is: 246,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,486.31 : 426,726.41 = 164,466.90 : x
  2. Step 2: Convert to fraction form
    284,486.31/426,726.41 = 164,466.90/x
  3. Step 3: Cross multiply
    284,486.31x = 426,726.41 × 164,466.90
  4. Step 4: Simplify right side
    284,486.31x = 70,182,368,978.49
  5. Step 5: Solve for x
    x = 70,182,368,978.49/284,486.31
  6. Step 6: Final answer
    x = 246,698.58

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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.