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Finding the Fourth Proportional to 522,793.90, 783,154.05 and 311,805.10

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Solution

The fourth proportional to 522,793.90, 783,154.05 and 311,805.10 is: 467,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,793.90 : 783,154.05 = 311,805.10 : x
  2. Step 2: Convert to fraction form
    522,793.90/783,154.05 = 311,805.10/x
  3. Step 3: Cross multiply
    522,793.90x = 783,154.05 × 311,805.10
  4. Step 4: Simplify right side
    522,793.90x = 244,191,426,875.66
  5. Step 5: Solve for x
    x = 244,191,426,875.66/522,793.90
  6. Step 6: Final answer
    x = 467,089.28

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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.