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Finding the Fourth Proportional to 218,970.17, 302,227.21 and 142,355.92

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Solution

The fourth proportional to 218,970.17, 302,227.21 and 142,355.92 is: 196,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,970.17 : 302,227.21 = 142,355.92 : x
  2. Step 2: Convert to fraction form
    218,970.17/302,227.21 = 142,355.92/x
  3. Step 3: Cross multiply
    218,970.17x = 302,227.21 × 142,355.92
  4. Step 4: Simplify right side
    218,970.17x = 43,023,831,017.45
  5. Step 5: Solve for x
    x = 43,023,831,017.45/218,970.17
  6. Step 6: Final answer
    x = 196,482.61

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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.