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Finding the Fourth Proportional to 609,051.28, 913,637.76 and 209,639.20

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Solution

The fourth proportional to 609,051.28, 913,637.76 and 209,639.20 is: 314,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,051.28 : 913,637.76 = 209,639.20 : x
  2. Step 2: Convert to fraction form
    609,051.28/913,637.76 = 209,639.20/x
  3. Step 3: Cross multiply
    609,051.28x = 913,637.76 × 209,639.20
  4. Step 4: Simplify right side
    609,051.28x = 191,534,289,096.19
  5. Step 5: Solve for x
    x = 191,534,289,096.19/609,051.28
  6. Step 6: Final answer
    x = 314,479.74

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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.