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Finding the Fourth Proportional to 477,320.02, 715,942.56 and 277,513

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Solution

The fourth proportional to 477,320.02, 715,942.56 and 277,513 is: 416,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,320.02 : 715,942.56 = 277,513 : x
  2. Step 2: Convert to fraction form
    477,320.02/715,942.56 = 277,513/x
  3. Step 3: Cross multiply
    477,320.02x = 715,942.56 × 277,513
  4. Step 4: Simplify right side
    477,320.02x = 198,683,367,653.28
  5. Step 5: Solve for x
    x = 198,683,367,653.28/477,320.02
  6. Step 6: Final answer
    x = 416,247.72

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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.