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Finding the Fourth Proportional to 310,005.36, 427,937.40 and 209,539.44

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Solution

The fourth proportional to 310,005.36, 427,937.40 and 209,539.44 is: 289,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,005.36 : 427,937.40 = 209,539.44 : x
  2. Step 2: Convert to fraction form
    310,005.36/427,937.40 = 209,539.44/x
  3. Step 3: Cross multiply
    310,005.36x = 427,937.40 × 209,539.44
  4. Step 4: Simplify right side
    310,005.36x = 89,669,763,151.06
  5. Step 5: Solve for x
    x = 89,669,763,151.06/310,005.36
  6. Step 6: Final answer
    x = 289,252.30

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1.5x scale

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.