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Finding the Fourth Proportional to 298,456.86, 412,022.64 and 230,320.74

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Solution

The fourth proportional to 298,456.86, 412,022.64 and 230,320.74 is: 317,960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,456.86 : 412,022.64 = 230,320.74 : x
  2. Step 2: Convert to fraction form
    298,456.86/412,022.64 = 230,320.74/x
  3. Step 3: Cross multiply
    298,456.86x = 412,022.64 × 230,320.74
  4. Step 4: Simplify right side
    298,456.86x = 94,897,359,341.55
  5. Step 5: Solve for x
    x = 94,897,359,341.55/298,456.86
  6. Step 6: Final answer
    x = 317,960.05

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1.5x scale

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.