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Finding the Fourth Proportional to 272,804.80, 409,207.20 and 209,746.30

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Solution

The fourth proportional to 272,804.80, 409,207.20 and 209,746.30 is: 314,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,804.80 : 409,207.20 = 209,746.30 : x
  2. Step 2: Convert to fraction form
    272,804.80/409,207.20 = 209,746.30/x
  3. Step 3: Cross multiply
    272,804.80x = 409,207.20 × 209,746.30
  4. Step 4: Simplify right side
    272,804.80x = 85,829,696,133.36
  5. Step 5: Solve for x
    x = 85,829,696,133.36/272,804.80
  6. Step 6: Final answer
    x = 314,619.45

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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.