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Finding the Fourth Proportional to 302,900.32, 418,064.47 and 180,464.42

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Solution

The fourth proportional to 302,900.32, 418,064.47 and 180,464.42 is: 249,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,900.32 : 418,064.47 = 180,464.42 : x
  2. Step 2: Convert to fraction form
    302,900.32/418,064.47 = 180,464.42/x
  3. Step 3: Cross multiply
    302,900.32x = 418,064.47 × 180,464.42
  4. Step 4: Simplify right side
    302,900.32x = 75,445,762,328.97
  5. Step 5: Solve for x
    x = 75,445,762,328.97/302,900.32
  6. Step 6: Final answer
    x = 249,077.86

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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.