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Finding the Fourth Proportional to 393,374, 590,063.16 and 97,886

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Solution

The fourth proportional to 393,374, 590,063.16 and 97,886 is: 146,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,374 : 590,063.16 = 97,886 : x
  2. Step 2: Convert to fraction form
    393,374/590,063.16 = 97,886/x
  3. Step 3: Cross multiply
    393,374x = 590,063.16 × 97,886
  4. Step 4: Simplify right side
    393,374x = 57,758,922,479.76
  5. Step 5: Solve for x
    x = 57,758,922,479.76/393,374
  6. Step 6: Final answer
    x = 146,829.54

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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.