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Finding the Fourth Proportional to 520,199.16, 780,741.62 and 204,877.50

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Solution

The fourth proportional to 520,199.16, 780,741.62 and 204,877.50 is: 307,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,199.16 : 780,741.62 = 204,877.50 : x
  2. Step 2: Convert to fraction form
    520,199.16/780,741.62 = 204,877.50/x
  3. Step 3: Cross multiply
    520,199.16x = 780,741.62 × 204,877.50
  4. Step 4: Simplify right side
    520,199.16x = 159,956,390,227.16
  5. Step 5: Solve for x
    x = 159,956,390,227.16/520,199.16
  6. Step 6: Final answer
    x = 307,490.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.