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Finding the Fourth Proportional to 474,294.85, 654,747.47 and 280,641.67

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Solution

The fourth proportional to 474,294.85, 654,747.47 and 280,641.67 is: 387,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,294.85 : 654,747.47 = 280,641.67 : x
  2. Step 2: Convert to fraction form
    474,294.85/654,747.47 = 280,641.67/x
  3. Step 3: Cross multiply
    474,294.85x = 654,747.47 × 280,641.67
  4. Step 4: Simplify right side
    474,294.85x = 183,749,421,421.40
  5. Step 5: Solve for x
    x = 183,749,421,421.40/474,294.85
  6. Step 6: Final answer
    x = 387,416.02

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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.