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Finding the Fourth Proportional to 411,856.84, 568,430.44 and 282,689.20

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Solution

The fourth proportional to 411,856.84, 568,430.44 and 282,689.20 is: 390,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,856.84 : 568,430.44 = 282,689.20 : x
  2. Step 2: Convert to fraction form
    411,856.84/568,430.44 = 282,689.20/x
  3. Step 3: Cross multiply
    411,856.84x = 568,430.44 × 282,689.20
  4. Step 4: Simplify right side
    411,856.84x = 160,689,143,145.64
  5. Step 5: Solve for x
    x = 160,689,143,145.64/411,856.84
  6. Step 6: Final answer
    x = 390,157.77

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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.