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Finding the Fourth Proportional to 403,292.32, 604,993.84 and 136,981.34

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Solution

The fourth proportional to 403,292.32, 604,993.84 and 136,981.34 is: 205,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,292.32 : 604,993.84 = 136,981.34 : x
  2. Step 2: Convert to fraction form
    403,292.32/604,993.84 = 136,981.34/x
  3. Step 3: Cross multiply
    403,292.32x = 604,993.84 × 136,981.34
  4. Step 4: Simplify right side
    403,292.32x = 82,872,866,894.95
  5. Step 5: Solve for x
    x = 82,872,866,894.95/403,292.32
  6. Step 6: Final answer
    x = 205,490.81

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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.