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Finding the Fourth Proportional to 280,878.81, 421,232.54 and 147,686.81

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Solution

The fourth proportional to 280,878.81, 421,232.54 and 147,686.81 is: 221,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,878.81 : 421,232.54 = 147,686.81 : x
  2. Step 2: Convert to fraction form
    280,878.81/421,232.54 = 147,686.81/x
  3. Step 3: Cross multiply
    280,878.81x = 421,232.54 × 147,686.81
  4. Step 4: Simplify right side
    280,878.81x = 62,210,489,362.36
  5. Step 5: Solve for x
    x = 62,210,489,362.36/280,878.81
  6. Step 6: Final answer
    x = 221,485.16

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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.