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Finding the Fourth Proportional to 309,701.95, 464,239.18 and 209,872.24

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Solution

The fourth proportional to 309,701.95, 464,239.18 and 209,872.24 is: 314,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,701.95 : 464,239.18 = 209,872.24 : x
  2. Step 2: Convert to fraction form
    309,701.95/464,239.18 = 209,872.24/x
  3. Step 3: Cross multiply
    309,701.95x = 464,239.18 × 209,872.24
  4. Step 4: Simplify right side
    309,701.95x = 97,430,913,231.81
  5. Step 5: Solve for x
    x = 97,430,913,231.81/309,701.95
  6. Step 6: Final answer
    x = 314,595.74

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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.