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Finding the Fourth Proportional to 494,657.18, 742,014.47 and 139,641.47

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Solution

The fourth proportional to 494,657.18, 742,014.47 and 139,641.47 is: 209,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,657.18 : 742,014.47 = 139,641.47 : x
  2. Step 2: Convert to fraction form
    494,657.18/742,014.47 = 139,641.47/x
  3. Step 3: Cross multiply
    494,657.18x = 742,014.47 × 139,641.47
  4. Step 4: Simplify right side
    494,657.18x = 103,615,990,773.66
  5. Step 5: Solve for x
    x = 103,615,990,773.66/494,657.18
  6. Step 6: Final answer
    x = 209,470.31

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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.