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Finding the Fourth Proportional to 476,770.40, 715,780.64 and 319,701.68

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Solution

The fourth proportional to 476,770.40, 715,780.64 and 319,701.68 is: 479,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,770.40 : 715,780.64 = 319,701.68 : x
  2. Step 2: Convert to fraction form
    476,770.40/715,780.64 = 319,701.68/x
  3. Step 3: Cross multiply
    476,770.40x = 715,780.64 × 319,701.68
  4. Step 4: Simplify right side
    476,770.40x = 228,836,273,119.48
  5. Step 5: Solve for x
    x = 228,836,273,119.48/476,770.40
  6. Step 6: Final answer
    x = 479,971.64

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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.