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Finding the Fourth Proportional to 305,436.54, 457,970.72 and 136,926.36

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Solution

The fourth proportional to 305,436.54, 457,970.72 and 136,926.36 is: 205,307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,436.54 : 457,970.72 = 136,926.36 : x
  2. Step 2: Convert to fraction form
    305,436.54/457,970.72 = 136,926.36/x
  3. Step 3: Cross multiply
    305,436.54x = 457,970.72 × 136,926.36
  4. Step 4: Simplify right side
    305,436.54x = 62,708,262,991.55
  5. Step 5: Solve for x
    x = 62,708,262,991.55/305,436.54
  6. Step 6: Final answer
    x = 205,307.01

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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.