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Finding the Fourth Proportional to 356,625.84, 492,111 and 205,693.68

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Solution

The fourth proportional to 356,625.84, 492,111 and 205,693.68 is: 283,838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,625.84 : 492,111 = 205,693.68 : x
  2. Step 2: Convert to fraction form
    356,625.84/492,111 = 205,693.68/x
  3. Step 3: Cross multiply
    356,625.84x = 492,111 × 205,693.68
  4. Step 4: Simplify right side
    356,625.84x = 101,224,122,558.48
  5. Step 5: Solve for x
    x = 101,224,122,558.48/356,625.84
  6. Step 6: Final answer
    x = 283,838.44

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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.