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Finding the Fourth Proportional to 487,210.80, 730,427.40 and 206,497.20

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Solution

The fourth proportional to 487,210.80, 730,427.40 and 206,497.20 is: 309,581.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,210.80 : 730,427.40 = 206,497.20 : x
  2. Step 2: Convert to fraction form
    487,210.80/730,427.40 = 206,497.20/x
  3. Step 3: Cross multiply
    487,210.80x = 730,427.40 × 206,497.20
  4. Step 4: Simplify right side
    487,210.80x = 150,831,212,903.28
  5. Step 5: Solve for x
    x = 150,831,212,903.28/487,210.80
  6. Step 6: Final answer
    x = 309,581.01

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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.