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Finding the Fourth Proportional to 487,208.16, 730,675.68 and 206,533.44

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Solution

The fourth proportional to 487,208.16, 730,675.68 and 206,533.44 is: 309,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,208.16 : 730,675.68 = 206,533.44 : x
  2. Step 2: Convert to fraction form
    487,208.16/730,675.68 = 206,533.44/x
  3. Step 3: Cross multiply
    487,208.16x = 730,675.68 × 206,533.44
  4. Step 4: Simplify right side
    487,208.16x = 150,908,961,714.74
  5. Step 5: Solve for x
    x = 150,908,961,714.74/487,208.16
  6. Step 6: Final answer
    x = 309,742.27

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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.