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Finding the Fourth Proportional to 306,322.52, 459,325.80 and 137,698.72

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Solution

The fourth proportional to 306,322.52, 459,325.80 and 137,698.72 is: 206,477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,322.52 : 459,325.80 = 137,698.72 : x
  2. Step 2: Convert to fraction form
    306,322.52/459,325.80 = 137,698.72/x
  3. Step 3: Cross multiply
    306,322.52x = 459,325.80 × 137,698.72
  4. Step 4: Simplify right side
    306,322.52x = 63,248,574,722.98
  5. Step 5: Solve for x
    x = 63,248,574,722.98/306,322.52
  6. Step 6: Final answer
    x = 206,477.06

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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.