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Finding the Fourth Proportional to 418,726.16, 628,074.38 and 119,208.32

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Solution

The fourth proportional to 418,726.16, 628,074.38 and 119,208.32 is: 178,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,726.16 : 628,074.38 = 119,208.32 : x
  2. Step 2: Convert to fraction form
    418,726.16/628,074.38 = 119,208.32/x
  3. Step 3: Cross multiply
    418,726.16x = 628,074.38 × 119,208.32
  4. Step 4: Simplify right side
    418,726.16x = 74,871,688,832.49
  5. Step 5: Solve for x
    x = 74,871,688,832.49/418,726.16
  6. Step 6: Final answer
    x = 178,808.24

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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.