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Finding the Fourth Proportional to 280,424.16, 386,991.92 and 153,100.64

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Solution

The fourth proportional to 280,424.16, 386,991.92 and 153,100.64 is: 211,282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,424.16 : 386,991.92 = 153,100.64 : x
  2. Step 2: Convert to fraction form
    280,424.16/386,991.92 = 153,100.64/x
  3. Step 3: Cross multiply
    280,424.16x = 386,991.92 × 153,100.64
  4. Step 4: Simplify right side
    280,424.16x = 59,248,710,626.83
  5. Step 5: Solve for x
    x = 59,248,710,626.83/280,424.16
  6. Step 6: Final answer
    x = 211,282.48

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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.