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Finding the Fourth Proportional to 314,973.54, 472,657.41 and 209,866.32

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Solution

The fourth proportional to 314,973.54, 472,657.41 and 209,866.32 is: 314,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,973.54 : 472,657.41 = 209,866.32 : x
  2. Step 2: Convert to fraction form
    314,973.54/472,657.41 = 209,866.32/x
  3. Step 3: Cross multiply
    314,973.54x = 472,657.41 × 209,866.32
  4. Step 4: Simplify right side
    314,973.54x = 99,194,871,257.43
  5. Step 5: Solve for x
    x = 99,194,871,257.43/314,973.54
  6. Step 6: Final answer
    x = 314,930.81

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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.