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Finding the Fourth Proportional to 401,615.18, 602,103.08 and 199,068.74

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Solution

The fourth proportional to 401,615.18, 602,103.08 and 199,068.74 is: 298,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,615.18 : 602,103.08 = 199,068.74 : x
  2. Step 2: Convert to fraction form
    401,615.18/602,103.08 = 199,068.74/x
  3. Step 3: Cross multiply
    401,615.18x = 602,103.08 × 199,068.74
  4. Step 4: Simplify right side
    401,615.18x = 119,859,897,479.86
  5. Step 5: Solve for x
    x = 119,859,897,479.86/401,615.18
  6. Step 6: Final answer
    x = 298,444.64

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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.