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Finding the Fourth Proportional to 280,242.51, 386,744 and 152,925.09

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Solution

The fourth proportional to 280,242.51, 386,744 and 152,925.09 is: 211,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,242.51 : 386,744 = 152,925.09 : x
  2. Step 2: Convert to fraction form
    280,242.51/386,744 = 152,925.09/x
  3. Step 3: Cross multiply
    280,242.51x = 386,744 × 152,925.09
  4. Step 4: Simplify right side
    280,242.51x = 59,142,861,006.96
  5. Step 5: Solve for x
    x = 59,142,861,006.96/280,242.51
  6. Step 6: Final answer
    x = 211,041.72

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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.