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Finding the Fourth Proportional to 401,745.61, 554,271.62 and 229,540.02

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Solution

The fourth proportional to 401,745.61, 554,271.62 and 229,540.02 is: 316,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,745.61 : 554,271.62 = 229,540.02 : x
  2. Step 2: Convert to fraction form
    401,745.61/554,271.62 = 229,540.02/x
  3. Step 3: Cross multiply
    401,745.61x = 554,271.62 × 229,540.02
  4. Step 4: Simplify right side
    401,745.61x = 127,227,518,740.23
  5. Step 5: Solve for x
    x = 127,227,518,740.23/401,745.61
  6. Step 6: Final answer
    x = 316,686.77

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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.