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Finding the Fourth Proportional to 442,894.40, 664,341.60 and 285,430.40

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Solution

The fourth proportional to 442,894.40, 664,341.60 and 285,430.40 is: 428,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,894.40 : 664,341.60 = 285,430.40 : x
  2. Step 2: Convert to fraction form
    442,894.40/664,341.60 = 285,430.40/x
  3. Step 3: Cross multiply
    442,894.40x = 664,341.60 × 285,430.40
  4. Step 4: Simplify right side
    442,894.40x = 189,623,288,624.64
  5. Step 5: Solve for x
    x = 189,623,288,624.64/442,894.40
  6. Step 6: Final answer
    x = 428,145.60

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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.