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Finding the Fourth Proportional to 402,205.98, 555,048.81 and 220,922.16

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Solution

The fourth proportional to 402,205.98, 555,048.81 and 220,922.16 is: 304,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,205.98 : 555,048.81 = 220,922.16 : x
  2. Step 2: Convert to fraction form
    402,205.98/555,048.81 = 220,922.16/x
  3. Step 3: Cross multiply
    402,205.98x = 555,048.81 × 220,922.16
  4. Step 4: Simplify right side
    402,205.98x = 122,622,582,010.63
  5. Step 5: Solve for x
    x = 122,622,582,010.63/402,205.98
  6. Step 6: Final answer
    x = 304,875.08

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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.