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Finding the Fourth Proportional to 298,417.95, 447,626.97 and 285,460.02

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Solution

The fourth proportional to 298,417.95, 447,626.97 and 285,460.02 is: 428,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,417.95 : 447,626.97 = 285,460.02 : x
  2. Step 2: Convert to fraction form
    298,417.95/447,626.97 = 285,460.02/x
  3. Step 3: Cross multiply
    298,417.95x = 447,626.97 × 285,460.02
  4. Step 4: Simplify right side
    298,417.95x = 127,779,603,808.74
  5. Step 5: Solve for x
    x = 127,779,603,808.74/298,417.95
  6. Step 6: Final answer
    x = 428,190.07

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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.