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Finding the Fourth Proportional to 403,009.95, 556,153.74 and 221,718

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Solution

The fourth proportional to 403,009.95, 556,153.74 and 221,718 is: 305,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,009.95 : 556,153.74 = 221,718 : x
  2. Step 2: Convert to fraction form
    403,009.95/556,153.74 = 221,718/x
  3. Step 3: Cross multiply
    403,009.95x = 556,153.74 × 221,718
  4. Step 4: Simplify right side
    403,009.95x = 123,309,294,925.32
  5. Step 5: Solve for x
    x = 123,309,294,925.32/403,009.95
  6. Step 6: Final answer
    x = 305,970.84

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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.