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Finding the Fourth Proportional to 472,040.80, 707,024.40 and 284,725.60

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Solution

The fourth proportional to 472,040.80, 707,024.40 and 284,725.60 is: 426,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,040.80 : 707,024.40 = 284,725.60 : x
  2. Step 2: Convert to fraction form
    472,040.80/707,024.40 = 284,725.60/x
  3. Step 3: Cross multiply
    472,040.80x = 707,024.40 × 284,725.60
  4. Step 4: Simplify right side
    472,040.80x = 201,307,946,504.64
  5. Step 5: Solve for x
    x = 201,307,946,504.64/472,040.80
  6. Step 6: Final answer
    x = 426,463.02

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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.