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Finding the Fourth Proportional to 409,846, 565,591.80 and 230,998

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Solution

The fourth proportional to 409,846, 565,591.80 and 230,998 is: 318,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,846 : 565,591.80 = 230,998 : x
  2. Step 2: Convert to fraction form
    409,846/565,591.80 = 230,998/x
  3. Step 3: Cross multiply
    409,846x = 565,591.80 × 230,998
  4. Step 4: Simplify right side
    409,846x = 130,650,574,616.40
  5. Step 5: Solve for x
    x = 130,650,574,616.40/409,846
  6. Step 6: Final answer
    x = 318,779.67

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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.