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Finding the Fourth Proportional to 280,698.84, 387,364.50 and 151,637.36

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Solution

The fourth proportional to 280,698.84, 387,364.50 and 151,637.36 is: 209,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,698.84 : 387,364.50 = 151,637.36 : x
  2. Step 2: Convert to fraction form
    280,698.84/387,364.50 = 151,637.36/x
  3. Step 3: Cross multiply
    280,698.84x = 387,364.50 × 151,637.36
  4. Step 4: Simplify right side
    280,698.84x = 58,738,930,137.72
  5. Step 5: Solve for x
    x = 58,738,930,137.72/280,698.84
  6. Step 6: Final answer
    x = 209,259.61

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1.5x scale

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.