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Finding the Fourth Proportional to 388,828, 536,582.64 and 209,980

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Solution

The fourth proportional to 388,828, 536,582.64 and 209,980 is: 289,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,828 : 536,582.64 = 209,980 : x
  2. Step 2: Convert to fraction form
    388,828/536,582.64 = 209,980/x
  3. Step 3: Cross multiply
    388,828x = 536,582.64 × 209,980
  4. Step 4: Simplify right side
    388,828x = 112,671,622,747.20
  5. Step 5: Solve for x
    x = 112,671,622,747.20/388,828
  6. Step 6: Final answer
    x = 289,772.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.