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Finding the Fourth Proportional to 210,909.60, 315,903.60 and 163,792.80

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Solution

The fourth proportional to 210,909.60, 315,903.60 and 163,792.80 is: 245,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,909.60 : 315,903.60 = 163,792.80 : x
  2. Step 2: Convert to fraction form
    210,909.60/315,903.60 = 163,792.80/x
  3. Step 3: Cross multiply
    210,909.60x = 315,903.60 × 163,792.80
  4. Step 4: Simplify right side
    210,909.60x = 51,742,735,174.08
  5. Step 5: Solve for x
    x = 51,742,735,174.08/210,909.60
  6. Step 6: Final answer
    x = 245,331.34

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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.