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Finding the Fourth Proportional to 285,726.40, 394,307.22 and 156,662.20

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Solution

The fourth proportional to 285,726.40, 394,307.22 and 156,662.20 is: 216,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,726.40 : 394,307.22 = 156,662.20 : x
  2. Step 2: Convert to fraction form
    285,726.40/394,307.22 = 156,662.20/x
  3. Step 3: Cross multiply
    285,726.40x = 394,307.22 × 156,662.20
  4. Step 4: Simplify right side
    285,726.40x = 61,773,036,561.08
  5. Step 5: Solve for x
    x = 61,773,036,561.08/285,726.40
  6. Step 6: Final answer
    x = 216,196.46

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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.