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Finding the Fourth Proportional to 518,375.60, 777,563.40 and 429,802.10

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Solution

The fourth proportional to 518,375.60, 777,563.40 and 429,802.10 is: 644,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,375.60 : 777,563.40 = 429,802.10 : x
  2. Step 2: Convert to fraction form
    518,375.60/777,563.40 = 429,802.10/x
  3. Step 3: Cross multiply
    518,375.60x = 777,563.40 × 429,802.10
  4. Step 4: Simplify right side
    518,375.60x = 334,198,382,203.14
  5. Step 5: Solve for x
    x = 334,198,382,203.14/518,375.60
  6. Step 6: Final answer
    x = 644,703.15

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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.