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Finding the Fourth Proportional to 342,218.96, 513,329.40 and 201,784.40

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Solution

The fourth proportional to 342,218.96, 513,329.40 and 201,784.40 is: 302,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,218.96 : 513,329.40 = 201,784.40 : x
  2. Step 2: Convert to fraction form
    342,218.96/513,329.40 = 201,784.40/x
  3. Step 3: Cross multiply
    342,218.96x = 513,329.40 × 201,784.40
  4. Step 4: Simplify right side
    342,218.96x = 103,581,864,981.36
  5. Step 5: Solve for x
    x = 103,581,864,981.36/342,218.96
  6. Step 6: Final answer
    x = 302,677.17

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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.