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Finding the Fourth Proportional to 402,030.97, 554,798.86 and 220,741.32

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Solution

The fourth proportional to 402,030.97, 554,798.86 and 220,741.32 is: 304,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,030.97 : 554,798.86 = 220,741.32 : x
  2. Step 2: Convert to fraction form
    402,030.97/554,798.86 = 220,741.32/x
  3. Step 3: Cross multiply
    402,030.97x = 554,798.86 × 220,741.32
  4. Step 4: Simplify right side
    402,030.97x = 122,467,032,690.90
  5. Step 5: Solve for x
    x = 122,467,032,690.90/402,030.97
  6. Step 6: Final answer
    x = 304,620.89

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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.