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Finding the Fourth Proportional to 218,234.94, 301,705.47 and 216,242.34

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Solution

The fourth proportional to 218,234.94, 301,705.47 and 216,242.34 is: 298,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,234.94 : 301,705.47 = 216,242.34 : x
  2. Step 2: Convert to fraction form
    218,234.94/301,705.47 = 216,242.34/x
  3. Step 3: Cross multiply
    218,234.94x = 301,705.47 × 216,242.34
  4. Step 4: Simplify right side
    218,234.94x = 65,241,496,823.60
  5. Step 5: Solve for x
    x = 65,241,496,823.60/218,234.94
  6. Step 6: Final answer
    x = 298,950.74

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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.