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Finding the Fourth Proportional to 487,088.25, 729,990.86 and 206,258.01

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Solution

The fourth proportional to 487,088.25, 729,990.86 and 206,258.01 is: 309,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,088.25 : 729,990.86 = 206,258.01 : x
  2. Step 2: Convert to fraction form
    487,088.25/729,990.86 = 206,258.01/x
  3. Step 3: Cross multiply
    487,088.25x = 729,990.86 × 206,258.01
  4. Step 4: Simplify right side
    487,088.25x = 150,566,461,070.50
  5. Step 5: Solve for x
    x = 150,566,461,070.50/487,088.25
  6. Step 6: Final answer
    x = 309,115.36

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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.