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Finding the Fourth Proportional to 409,497.39, 614,295.29 and 387,102.51

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Solution

The fourth proportional to 409,497.39, 614,295.29 and 387,102.51 is: 580,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,497.39 : 614,295.29 = 387,102.51 : x
  2. Step 2: Convert to fraction form
    409,497.39/614,295.29 = 387,102.51/x
  3. Step 3: Cross multiply
    409,497.39x = 614,295.29 × 387,102.51
  4. Step 4: Simplify right side
    409,497.39x = 237,795,249,607.93
  5. Step 5: Solve for x
    x = 237,795,249,607.93/409,497.39
  6. Step 6: Final answer
    x = 580,700.28

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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.