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Finding the Fourth Proportional to 288,386.22, 432,579.22 and 209,999.28

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Solution

The fourth proportional to 288,386.22, 432,579.22 and 209,999.28 is: 314,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,386.22 : 432,579.22 = 209,999.28 : x
  2. Step 2: Convert to fraction form
    288,386.22/432,579.22 = 209,999.28/x
  3. Step 3: Cross multiply
    288,386.22x = 432,579.22 × 209,999.28
  4. Step 4: Simplify right side
    288,386.22x = 90,841,324,742.96
  5. Step 5: Solve for x
    x = 90,841,324,742.96/288,386.22
  6. Step 6: Final answer
    x = 314,998.84

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1.5x scale

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.