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Finding the Fourth Proportional to 280,142.32, 386,593.90 and 152,815.18

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Solution

The fourth proportional to 280,142.32, 386,593.90 and 152,815.18 is: 210,883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,142.32 : 386,593.90 = 152,815.18 : x
  2. Step 2: Convert to fraction form
    280,142.32/386,593.90 = 152,815.18/x
  3. Step 3: Cross multiply
    280,142.32x = 386,593.90 × 152,815.18
  4. Step 4: Simplify right side
    280,142.32x = 59,077,416,415.40
  5. Step 5: Solve for x
    x = 59,077,416,415.40/280,142.32
  6. Step 6: Final answer
    x = 210,883.58

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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.