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Finding the Fourth Proportional to 407,898.72, 612,154.44 and 208,386

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Solution

The fourth proportional to 407,898.72, 612,154.44 and 208,386 is: 312,735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,898.72 : 612,154.44 = 208,386 : x
  2. Step 2: Convert to fraction form
    407,898.72/612,154.44 = 208,386/x
  3. Step 3: Cross multiply
    407,898.72x = 612,154.44 × 208,386
  4. Step 4: Simplify right side
    407,898.72x = 127,564,415,133.84
  5. Step 5: Solve for x
    x = 127,564,415,133.84/407,898.72
  6. Step 6: Final answer
    x = 312,735.51

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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.