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Finding the Fourth Proportional to 418,742.33, 627,875.55 and 285,783.66

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Solution

The fourth proportional to 418,742.33, 627,875.55 and 285,783.66 is: 428,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,742.33 : 627,875.55 = 285,783.66 : x
  2. Step 2: Convert to fraction form
    418,742.33/627,875.55 = 285,783.66/x
  3. Step 3: Cross multiply
    418,742.33x = 627,875.55 × 285,783.66
  4. Step 4: Simplify right side
    418,742.33x = 179,436,572,703.51
  5. Step 5: Solve for x
    x = 179,436,572,703.51/418,742.33
  6. Step 6: Final answer
    x = 428,513.10

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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.