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Finding the Fourth Proportional to 515,507.63, 773,827.16 and 409,572.52

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Solution

The fourth proportional to 515,507.63, 773,827.16 and 409,572.52 is: 614,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,507.63 : 773,827.16 = 409,572.52 : x
  2. Step 2: Convert to fraction form
    515,507.63/773,827.16 = 409,572.52/x
  3. Step 3: Cross multiply
    515,507.63x = 773,827.16 × 409,572.52
  4. Step 4: Simplify right side
    515,507.63x = 316,938,335,983.21
  5. Step 5: Solve for x
    x = 316,938,335,983.21/515,507.63
  6. Step 6: Final answer
    x = 614,808.24

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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.