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Finding the Fourth Proportional to 488,465.40, 734,447.70 and 477,967.80

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Solution

The fourth proportional to 488,465.40, 734,447.70 and 477,967.80 is: 718,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,465.40 : 734,447.70 = 477,967.80 : x
  2. Step 2: Convert to fraction form
    488,465.40/734,447.70 = 477,967.80/x
  3. Step 3: Cross multiply
    488,465.40x = 734,447.70 × 477,967.80
  4. Step 4: Simplify right side
    488,465.40x = 351,042,351,384.06
  5. Step 5: Solve for x
    x = 351,042,351,384.06/488,465.40
  6. Step 6: Final answer
    x = 718,663.70

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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.