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Finding the Fourth Proportional to 522,798.90, 783,161.55 and 311,810.10

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Solution

The fourth proportional to 522,798.90, 783,161.55 and 311,810.10 is: 467,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,798.90 : 783,161.55 = 311,810.10 : x
  2. Step 2: Convert to fraction form
    522,798.90/783,161.55 = 311,810.10/x
  3. Step 3: Cross multiply
    522,798.90x = 783,161.55 × 311,810.10
  4. Step 4: Simplify right side
    522,798.90x = 244,197,681,221.66
  5. Step 5: Solve for x
    x = 244,197,681,221.66/522,798.90
  6. Step 6: Final answer
    x = 467,096.78

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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.