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Finding the Fourth Proportional to 342,962.40, 473,130.54 and 222,144

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Solution

The fourth proportional to 342,962.40, 473,130.54 and 222,144 is: 306,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,962.40 : 473,130.54 = 222,144 : x
  2. Step 2: Convert to fraction form
    342,962.40/473,130.54 = 222,144/x
  3. Step 3: Cross multiply
    342,962.40x = 473,130.54 × 222,144
  4. Step 4: Simplify right side
    342,962.40x = 105,103,110,677.76
  5. Step 5: Solve for x
    x = 105,103,110,677.76/342,962.40
  6. Step 6: Final answer
    x = 306,456.66

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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.