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Finding the Fourth Proportional to 302,807.46, 418,041.90 and 181,978.14

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Solution

The fourth proportional to 302,807.46, 418,041.90 and 181,978.14 is: 251,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,807.46 : 418,041.90 = 181,978.14 : x
  2. Step 2: Convert to fraction form
    302,807.46/418,041.90 = 181,978.14/x
  3. Step 3: Cross multiply
    302,807.46x = 418,041.90 × 181,978.14
  4. Step 4: Simplify right side
    302,807.46x = 76,074,487,404.07
  5. Step 5: Solve for x
    x = 76,074,487,404.07/302,807.46
  6. Step 6: Final answer
    x = 251,230.56

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1.5x scale

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.