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Finding the Fourth Proportional to 363,657.60, 545,618 and 186,248.16

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Solution

The fourth proportional to 363,657.60, 545,618 and 186,248.16 is: 279,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,657.60 : 545,618 = 186,248.16 : x
  2. Step 2: Convert to fraction form
    363,657.60/545,618 = 186,248.16/x
  3. Step 3: Cross multiply
    363,657.60x = 545,618 × 186,248.16
  4. Step 4: Simplify right side
    363,657.60x = 101,620,348,562.88
  5. Step 5: Solve for x
    x = 101,620,348,562.88/363,657.60
  6. Step 6: Final answer
    x = 279,439.64

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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.