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Finding the Fourth Proportional to 470,228.96, 707,885.66 and 428,378

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Solution

The fourth proportional to 470,228.96, 707,885.66 and 428,378 is: 644,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,228.96 : 707,885.66 = 428,378 : x
  2. Step 2: Convert to fraction form
    470,228.96/707,885.66 = 428,378/x
  3. Step 3: Cross multiply
    470,228.96x = 707,885.66 × 428,378
  4. Step 4: Simplify right side
    470,228.96x = 303,242,643,259.48
  5. Step 5: Solve for x
    x = 303,242,643,259.48/470,228.96
  6. Step 6: Final answer
    x = 644,882.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.