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Finding the Fourth Proportional to 515,040.50, 710,777.76 and 288,686

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Solution

The fourth proportional to 515,040.50, 710,777.76 and 288,686 is: 398,398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,040.50 : 710,777.76 = 288,686 : x
  2. Step 2: Convert to fraction form
    515,040.50/710,777.76 = 288,686/x
  3. Step 3: Cross multiply
    515,040.50x = 710,777.76 × 288,686
  4. Step 4: Simplify right side
    515,040.50x = 205,191,588,423.36
  5. Step 5: Solve for x
    x = 205,191,588,423.36/515,040.50
  6. Step 6: Final answer
    x = 398,398.94

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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.