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Finding the Fourth Proportional to 348,154, 480,453.12 and 197,261.20

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Solution

The fourth proportional to 348,154, 480,453.12 and 197,261.20 is: 272,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,154 : 480,453.12 = 197,261.20 : x
  2. Step 2: Convert to fraction form
    348,154/480,453.12 = 197,261.20/x
  3. Step 3: Cross multiply
    348,154x = 480,453.12 × 197,261.20
  4. Step 4: Simplify right side
    348,154x = 94,774,758,994.94
  5. Step 5: Solve for x
    x = 94,774,758,994.94/348,154
  6. Step 6: Final answer
    x = 272,220.80

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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.