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Finding the Fourth Proportional to 472,416.60, 708,292.65 and 219,428.49

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Solution

The fourth proportional to 472,416.60, 708,292.65 and 219,428.49 is: 328,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,416.60 : 708,292.65 = 219,428.49 : x
  2. Step 2: Convert to fraction form
    472,416.60/708,292.65 = 219,428.49/x
  3. Step 3: Cross multiply
    472,416.60x = 708,292.65 × 219,428.49
  4. Step 4: Simplify right side
    472,416.60x = 155,419,590,146.55
  5. Step 5: Solve for x
    x = 155,419,590,146.55/472,416.60
  6. Step 6: Final answer
    x = 328,988.42

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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.