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Finding the Fourth Proportional to 407,856.45, 611,784.68 and 407,856.45

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Solution

The fourth proportional to 407,856.45, 611,784.68 and 407,856.45 is: 611,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,856.45 : 611,784.68 = 407,856.45 : x
  2. Step 2: Convert to fraction form
    407,856.45/611,784.68 = 407,856.45/x
  3. Step 3: Cross multiply
    407,856.45x = 611,784.68 × 407,856.45
  4. Step 4: Simplify right side
    407,856.45x = 249,520,325,709.90
  5. Step 5: Solve for x
    x = 249,520,325,709.90/407,856.45
  6. Step 6: Final answer
    x = 611,784.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.