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Finding the Fourth Proportional to 280,574.20, 387,189.84 and 153,249.76

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Solution

The fourth proportional to 280,574.20, 387,189.84 and 153,249.76 is: 211,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,574.20 : 387,189.84 = 153,249.76 : x
  2. Step 2: Convert to fraction form
    280,574.20/387,189.84 = 153,249.76/x
  3. Step 3: Cross multiply
    280,574.20x = 387,189.84 × 153,249.76
  4. Step 4: Simplify right side
    280,574.20x = 59,336,750,054.44
  5. Step 5: Solve for x
    x = 59,336,750,054.44/280,574.20
  6. Step 6: Final answer
    x = 211,483.27

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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.