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Finding the Fourth Proportional to 280,878.56, 421,232.16 and 147,686.56

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Solution

The fourth proportional to 280,878.56, 421,232.16 and 147,686.56 is: 221,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,878.56 : 421,232.16 = 147,686.56 : x
  2. Step 2: Convert to fraction form
    280,878.56/421,232.16 = 147,686.56/x
  3. Step 3: Cross multiply
    280,878.56x = 421,232.16 × 147,686.56
  4. Step 4: Simplify right side
    280,878.56x = 62,210,328,671.77
  5. Step 5: Solve for x
    x = 62,210,328,671.77/280,878.56
  6. Step 6: Final answer
    x = 221,484.79

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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.