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Finding the Fourth Proportional to 362,688.57, 500,364 and 219,199.50

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Solution

The fourth proportional to 362,688.57, 500,364 and 219,199.50 is: 302,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,688.57 : 500,364 = 219,199.50 : x
  2. Step 2: Convert to fraction form
    362,688.57/500,364 = 219,199.50/x
  3. Step 3: Cross multiply
    362,688.57x = 500,364 × 219,199.50
  4. Step 4: Simplify right side
    362,688.57x = 109,679,538,618
  5. Step 5: Solve for x
    x = 109,679,538,618/362,688.57
  6. Step 6: Final answer
    x = 302,406.93

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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.