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Finding the Fourth Proportional to 278,607.47, 384,479.88 and 151,283.10

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Solution

The fourth proportional to 278,607.47, 384,479.88 and 151,283.10 is: 208,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,607.47 : 384,479.88 = 151,283.10 : x
  2. Step 2: Convert to fraction form
    278,607.47/384,479.88 = 151,283.10/x
  3. Step 3: Cross multiply
    278,607.47x = 384,479.88 × 151,283.10
  4. Step 4: Simplify right side
    278,607.47x = 58,165,308,134.03
  5. Step 5: Solve for x
    x = 58,165,308,134.03/278,607.47
  6. Step 6: Final answer
    x = 208,771.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.