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Finding the Fourth Proportional to 280,485.32, 420,851.28 and 147,334.64

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Solution

The fourth proportional to 280,485.32, 420,851.28 and 147,334.64 is: 221,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,485.32 : 420,851.28 = 147,334.64 : x
  2. Step 2: Convert to fraction form
    280,485.32/420,851.28 = 147,334.64/x
  3. Step 3: Cross multiply
    280,485.32x = 420,851.28 × 147,334.64
  4. Step 4: Simplify right side
    280,485.32x = 62,005,971,832.34
  5. Step 5: Solve for x
    x = 62,005,971,832.34/280,485.32
  6. Step 6: Final answer
    x = 221,066.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.