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Finding the Fourth Proportional to 279,849.94, 386,201.01 and 152,533.78

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Solution

The fourth proportional to 279,849.94, 386,201.01 and 152,533.78 is: 210,501.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,849.94 : 386,201.01 = 152,533.78 : x
  2. Step 2: Convert to fraction form
    279,849.94/386,201.01 = 152,533.78/x
  3. Step 3: Cross multiply
    279,849.94x = 386,201.01 × 152,533.78
  4. Step 4: Simplify right side
    279,849.94x = 58,908,699,895.12
  5. Step 5: Solve for x
    x = 58,908,699,895.12/279,849.94
  6. Step 6: Final answer
    x = 210,501.03

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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.