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Finding the Fourth Proportional to 280,106.88, 386,556.48 and 152,787.84

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Solution

The fourth proportional to 280,106.88, 386,556.48 and 152,787.84 is: 210,852.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,106.88 : 386,556.48 = 152,787.84 : x
  2. Step 2: Convert to fraction form
    280,106.88/386,556.48 = 152,787.84/x
  3. Step 3: Cross multiply
    280,106.88x = 386,556.48 × 152,787.84
  4. Step 4: Simplify right side
    280,106.88x = 59,061,129,617.20
  5. Step 5: Solve for x
    x = 59,061,129,617.20/280,106.88
  6. Step 6: Final answer
    x = 210,852.12

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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.