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Finding the Fourth Proportional to 408,965.61, 613,518.08 and 139,065.51

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Solution

The fourth proportional to 408,965.61, 613,518.08 and 139,065.51 is: 208,621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,965.61 : 613,518.08 = 139,065.51 : x
  2. Step 2: Convert to fraction form
    408,965.61/613,518.08 = 139,065.51/x
  3. Step 3: Cross multiply
    408,965.61x = 613,518.08 × 139,065.51
  4. Step 4: Simplify right side
    408,965.61x = 85,319,203,994.09
  5. Step 5: Solve for x
    x = 85,319,203,994.09/408,965.61
  6. Step 6: Final answer
    x = 208,621.95

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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.