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Finding the Fourth Proportional to 221,477.90, 305,533.23 and 144,963.32

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Solution

The fourth proportional to 221,477.90, 305,533.23 and 144,963.32 is: 199,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,477.90 : 305,533.23 = 144,963.32 : x
  2. Step 2: Convert to fraction form
    221,477.90/305,533.23 = 144,963.32/x
  3. Step 3: Cross multiply
    221,477.90x = 305,533.23 × 144,963.32
  4. Step 4: Simplify right side
    221,477.90x = 44,291,111,391.12
  5. Step 5: Solve for x
    x = 44,291,111,391.12/221,477.90
  6. Step 6: Final answer
    x = 199,979.82

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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.