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Finding the Fourth Proportional to 403,074, 556,242.66 and 224,226

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Solution

The fourth proportional to 403,074, 556,242.66 and 224,226 is: 309,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,074 : 556,242.66 = 224,226 : x
  2. Step 2: Convert to fraction form
    403,074/556,242.66 = 224,226/x
  3. Step 3: Cross multiply
    403,074x = 556,242.66 × 224,226
  4. Step 4: Simplify right side
    403,074x = 124,724,066,681.16
  5. Step 5: Solve for x
    x = 124,724,066,681.16/403,074
  6. Step 6: Final answer
    x = 309,432.18

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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.