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Finding the Fourth Proportional to 228,421.44, 314,658.14 and 194,320.65

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Solution

The fourth proportional to 228,421.44, 314,658.14 and 194,320.65 is: 267,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,421.44 : 314,658.14 = 194,320.65 : x
  2. Step 2: Convert to fraction form
    228,421.44/314,658.14 = 194,320.65/x
  3. Step 3: Cross multiply
    228,421.44x = 314,658.14 × 194,320.65
  4. Step 4: Simplify right side
    228,421.44x = 61,144,573,320.99
  5. Step 5: Solve for x
    x = 61,144,573,320.99/228,421.44
  6. Step 6: Final answer
    x = 267,683.16

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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.