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Finding the Fourth Proportional to 280,784, 387,476.17 and 153,460.52

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Solution

The fourth proportional to 280,784, 387,476.17 and 153,460.52 is: 211,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,784 : 387,476.17 = 153,460.52 : x
  2. Step 2: Convert to fraction form
    280,784/387,476.17 = 153,460.52/x
  3. Step 3: Cross multiply
    280,784x = 387,476.17 × 153,460.52
  4. Step 4: Simplify right side
    280,784x = 59,462,294,535.81
  5. Step 5: Solve for x
    x = 59,462,294,535.81/280,784
  6. Step 6: Final answer
    x = 211,772.37

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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.