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Finding the Fourth Proportional to 426,415, 639,625.74 and 145,934.68

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Solution

The fourth proportional to 426,415, 639,625.74 and 145,934.68 is: 218,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,415 : 639,625.74 = 145,934.68 : x
  2. Step 2: Convert to fraction form
    426,415/639,625.74 = 145,934.68/x
  3. Step 3: Cross multiply
    426,415x = 639,625.74 × 145,934.68
  4. Step 4: Simplify right side
    426,415x = 93,343,577,686.66
  5. Step 5: Solve for x
    x = 93,343,577,686.66/426,415
  6. Step 6: Final answer
    x = 218,903.13

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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.