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Finding the Fourth Proportional to 477,152.30, 716,675.65 and 285,396.14

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Solution

The fourth proportional to 477,152.30, 716,675.65 and 285,396.14 is: 428,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,152.30 : 716,675.65 = 285,396.14 : x
  2. Step 2: Convert to fraction form
    477,152.30/716,675.65 = 285,396.14/x
  3. Step 3: Cross multiply
    477,152.30x = 716,675.65 × 285,396.14
  4. Step 4: Simplify right side
    477,152.30x = 204,536,465,220.19
  5. Step 5: Solve for x
    x = 204,536,465,220.19/477,152.30
  6. Step 6: Final answer
    x = 428,660.75

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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.