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Finding the Fourth Proportional to 403,490, 556,816.20 and 224,684.24

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Solution

The fourth proportional to 403,490, 556,816.20 and 224,684.24 is: 310,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,490 : 556,816.20 = 224,684.24 : x
  2. Step 2: Convert to fraction form
    403,490/556,816.20 = 224,684.24/x
  3. Step 3: Cross multiply
    403,490x = 556,816.20 × 224,684.24
  4. Step 4: Simplify right side
    403,490x = 125,107,824,716.69
  5. Step 5: Solve for x
    x = 125,107,824,716.69/403,490
  6. Step 6: Final answer
    x = 310,064.25

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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.