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Finding the Fourth Proportional to 620,483.56, 855,799.14 and 419,206.12

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Solution

The fourth proportional to 620,483.56, 855,799.14 and 419,206.12 is: 578,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,483.56 : 855,799.14 = 419,206.12 : x
  2. Step 2: Convert to fraction form
    620,483.56/855,799.14 = 419,206.12/x
  3. Step 3: Cross multiply
    620,483.56x = 855,799.14 × 419,206.12
  4. Step 4: Simplify right side
    620,483.56x = 358,756,236,978.74
  5. Step 5: Solve for x
    x = 358,756,236,978.74/620,483.56
  6. Step 6: Final answer
    x = 578,188.14

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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.