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Finding the Fourth Proportional to 403,670, 557,064.60 and 224,822

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Solution

The fourth proportional to 403,670, 557,064.60 and 224,822 is: 310,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,670 : 557,064.60 = 224,822 : x
  2. Step 2: Convert to fraction form
    403,670/557,064.60 = 224,822/x
  3. Step 3: Cross multiply
    403,670x = 557,064.60 × 224,822
  4. Step 4: Simplify right side
    403,670x = 125,240,377,501.20
  5. Step 5: Solve for x
    x = 125,240,377,501.20/403,670
  6. Step 6: Final answer
    x = 310,254.36

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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.