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Finding the Fourth Proportional to 494,762.40, 742,024.80 and 139,809.60

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Solution

The fourth proportional to 494,762.40, 742,024.80 and 139,809.60 is: 209,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,762.40 : 742,024.80 = 139,809.60 : x
  2. Step 2: Convert to fraction form
    494,762.40/742,024.80 = 139,809.60/x
  3. Step 3: Cross multiply
    494,762.40x = 742,024.80 × 139,809.60
  4. Step 4: Simplify right side
    494,762.40x = 103,742,190,478.08
  5. Step 5: Solve for x
    x = 103,742,190,478.08/494,762.40
  6. Step 6: Final answer
    x = 209,680.83

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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.