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Finding the Fourth Proportional to 405,390.18, 608,099.76 and 139,148.88

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Solution

The fourth proportional to 405,390.18, 608,099.76 and 139,148.88 is: 208,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,390.18 : 608,099.76 = 139,148.88 : x
  2. Step 2: Convert to fraction form
    405,390.18/608,099.76 = 139,148.88/x
  3. Step 3: Cross multiply
    405,390.18x = 608,099.76 × 139,148.88
  4. Step 4: Simplify right side
    405,390.18x = 84,616,400,532.27
  5. Step 5: Solve for x
    x = 84,616,400,532.27/405,390.18
  6. Step 6: Final answer
    x = 208,728.29

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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.