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Finding the Fourth Proportional to 978,148.20, 1,467,659.70 and 472,513.80

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Solution

The fourth proportional to 978,148.20, 1,467,659.70 and 472,513.80 is: 708,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,148.20 : 1,467,659.70 = 472,513.80 : x
  2. Step 2: Convert to fraction form
    978,148.20/1,467,659.70 = 472,513.80/x
  3. Step 3: Cross multiply
    978,148.20x = 1,467,659.70 × 472,513.80
  4. Step 4: Simplify right side
    978,148.20x = 693,489,461,953.86
  5. Step 5: Solve for x
    x = 693,489,461,953.86/978,148.20
  6. Step 6: Final answer
    x = 708,981.99

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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.