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Finding the Fourth Proportional to 298,071.24, 411,130.08 and 202,411.86

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Solution

The fourth proportional to 298,071.24, 411,130.08 and 202,411.86 is: 279,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,071.24 : 411,130.08 = 202,411.86 : x
  2. Step 2: Convert to fraction form
    298,071.24/411,130.08 = 202,411.86/x
  3. Step 3: Cross multiply
    298,071.24x = 411,130.08 × 202,411.86
  4. Step 4: Simplify right side
    298,071.24x = 83,217,604,194.75
  5. Step 5: Solve for x
    x = 83,217,604,194.75/298,071.24
  6. Step 6: Final answer
    x = 279,186.96

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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.