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Finding the Fourth Proportional to 416,842.56, 627,860.52 and 387,643.68

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Solution

The fourth proportional to 416,842.56, 627,860.52 and 387,643.68 is: 583,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,842.56 : 627,860.52 = 387,643.68 : x
  2. Step 2: Convert to fraction form
    416,842.56/627,860.52 = 387,643.68/x
  3. Step 3: Cross multiply
    416,842.56x = 627,860.52 × 387,643.68
  4. Step 4: Simplify right side
    416,842.56x = 243,386,162,499.51
  5. Step 5: Solve for x
    x = 243,386,162,499.51/416,842.56
  6. Step 6: Final answer
    x = 583,880.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.