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Finding the Fourth Proportional to 515,649.70, 711,582.06 and 283,076.56

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Solution

The fourth proportional to 515,649.70, 711,582.06 and 283,076.56 is: 390,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,649.70 : 711,582.06 = 283,076.56 : x
  2. Step 2: Convert to fraction form
    515,649.70/711,582.06 = 283,076.56/x
  3. Step 3: Cross multiply
    515,649.70x = 711,582.06 × 283,076.56
  4. Step 4: Simplify right side
    515,649.70x = 201,432,201,702.51
  5. Step 5: Solve for x
    x = 201,432,201,702.51/515,649.70
  6. Step 6: Final answer
    x = 390,637.68

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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.