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Finding the Fourth Proportional to 401,387.10, 602,080.70 and 120,904.35

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Solution

The fourth proportional to 401,387.10, 602,080.70 and 120,904.35 is: 181,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,387.10 : 602,080.70 = 120,904.35 : x
  2. Step 2: Convert to fraction form
    401,387.10/602,080.70 = 120,904.35/x
  3. Step 3: Cross multiply
    401,387.10x = 602,080.70 × 120,904.35
  4. Step 4: Simplify right side
    401,387.10x = 72,794,172,818.72
  5. Step 5: Solve for x
    x = 72,794,172,818.72/401,387.10
  6. Step 6: Final answer
    x = 181,356.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.