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Finding the Fourth Proportional to 309,368.64, 426,946.92 and 173,447.16

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Solution

The fourth proportional to 309,368.64, 426,946.92 and 173,447.16 is: 239,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,368.64 : 426,946.92 = 173,447.16 : x
  2. Step 2: Convert to fraction form
    309,368.64/426,946.92 = 173,447.16/x
  3. Step 3: Cross multiply
    309,368.64x = 426,946.92 × 173,447.16
  4. Step 4: Simplify right side
    309,368.64x = 74,052,730,744.75
  5. Step 5: Solve for x
    x = 74,052,730,744.75/309,368.64
  6. Step 6: Final answer
    x = 239,367.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.