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Finding the Fourth Proportional to 563,999.10, 778,703.67 and 394,287.90

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Solution

The fourth proportional to 563,999.10, 778,703.67 and 394,287.90 is: 544,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,999.10 : 778,703.67 = 394,287.90 : x
  2. Step 2: Convert to fraction form
    563,999.10/778,703.67 = 394,287.90/x
  3. Step 3: Cross multiply
    563,999.10x = 778,703.67 × 394,287.90
  4. Step 4: Simplify right side
    563,999.10x = 307,033,434,766.59
  5. Step 5: Solve for x
    x = 307,033,434,766.59/563,999.10
  6. Step 6: Final answer
    x = 544,386.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.