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Finding the Fourth Proportional to 719,820, 993,351.60 and 418,033.44

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Solution

The fourth proportional to 719,820, 993,351.60 and 418,033.44 is: 576,886.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,820 : 993,351.60 = 418,033.44 : x
  2. Step 2: Convert to fraction form
    719,820/993,351.60 = 418,033.44/x
  3. Step 3: Cross multiply
    719,820x = 993,351.60 × 418,033.44
  4. Step 4: Simplify right side
    719,820x = 415,254,186,477.50
  5. Step 5: Solve for x
    x = 415,254,186,477.50/719,820
  6. Step 6: Final answer
    x = 576,886.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.