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Finding the Fourth Proportional to 515,938.72, 712,262.64 and 400,960.48

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Solution

The fourth proportional to 515,938.72, 712,262.64 and 400,960.48 is: 553,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,938.72 : 712,262.64 = 400,960.48 : x
  2. Step 2: Convert to fraction form
    515,938.72/712,262.64 = 400,960.48/x
  3. Step 3: Cross multiply
    515,938.72x = 712,262.64 × 400,960.48
  4. Step 4: Simplify right side
    515,938.72x = 285,589,170,020.47
  5. Step 5: Solve for x
    x = 285,589,170,020.47/515,938.72
  6. Step 6: Final answer
    x = 553,533.12

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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.