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Finding the Fourth Proportional to 221,000.09, 304,900.12 and 144,562.82

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Solution

The fourth proportional to 221,000.09, 304,900.12 and 144,562.82 is: 199,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,000.09 : 304,900.12 = 144,562.82 : x
  2. Step 2: Convert to fraction form
    221,000.09/304,900.12 = 144,562.82/x
  3. Step 3: Cross multiply
    221,000.09x = 304,900.12 × 144,562.82
  4. Step 4: Simplify right side
    221,000.09x = 44,077,219,279.63
  5. Step 5: Solve for x
    x = 44,077,219,279.63/221,000.09
  6. Step 6: Final answer
    x = 199,444.35

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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.