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Finding the Fourth Proportional to 403,159.50, 556,340.02 and 221,866.77

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Solution

The fourth proportional to 403,159.50, 556,340.02 and 221,866.77 is: 306,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,159.50 : 556,340.02 = 221,866.77 : x
  2. Step 2: Convert to fraction form
    403,159.50/556,340.02 = 221,866.77/x
  3. Step 3: Cross multiply
    403,159.50x = 556,340.02 × 221,866.77
  4. Step 4: Simplify right side
    403,159.50x = 123,433,363,259.14
  5. Step 5: Solve for x
    x = 123,433,363,259.14/403,159.50
  6. Step 6: Final answer
    x = 306,165.09

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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.