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Finding the Fourth Proportional to 477,522.81, 716,289.84 and 189,404.72

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Solution

The fourth proportional to 477,522.81, 716,289.84 and 189,404.72 is: 284,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,522.81 : 716,289.84 = 189,404.72 : x
  2. Step 2: Convert to fraction form
    477,522.81/716,289.84 = 189,404.72/x
  3. Step 3: Cross multiply
    477,522.81x = 716,289.84 × 189,404.72
  4. Step 4: Simplify right side
    477,522.81x = 135,668,673,002.60
  5. Step 5: Solve for x
    x = 135,668,673,002.60/477,522.81
  6. Step 6: Final answer
    x = 284,109.30

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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.