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Finding the Fourth Proportional to 475,497.36, 713,478 and 209,224.32

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Solution

The fourth proportional to 475,497.36, 713,478 and 209,224.32 is: 313,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,497.36 : 713,478 = 209,224.32 : x
  2. Step 2: Convert to fraction form
    475,497.36/713,478 = 209,224.32/x
  3. Step 3: Cross multiply
    475,497.36x = 713,478 × 209,224.32
  4. Step 4: Simplify right side
    475,497.36x = 149,276,949,384.96
  5. Step 5: Solve for x
    x = 149,276,949,384.96/475,497.36
  6. Step 6: Final answer
    x = 313,938.55

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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.