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Finding the Fourth Proportional to 280,500.84, 387,119.16 and 167,323.58

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Solution

The fourth proportional to 280,500.84, 387,119.16 and 167,323.58 is: 230,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,500.84 : 387,119.16 = 167,323.58 : x
  2. Step 2: Convert to fraction form
    280,500.84/387,119.16 = 167,323.58/x
  3. Step 3: Cross multiply
    280,500.84x = 387,119.16 × 167,323.58
  4. Step 4: Simplify right side
    280,500.84x = 64,774,163,737.79
  5. Step 5: Solve for x
    x = 64,774,163,737.79/280,500.84
  6. Step 6: Final answer
    x = 230,923.24

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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.