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Finding the Fourth Proportional to 504,819.85, 756,117.25 and 417,271.66

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Solution

The fourth proportional to 504,819.85, 756,117.25 and 417,271.66 is: 624,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,819.85 : 756,117.25 = 417,271.66 : x
  2. Step 2: Convert to fraction form
    504,819.85/756,117.25 = 417,271.66/x
  3. Step 3: Cross multiply
    504,819.85x = 756,117.25 × 417,271.66
  4. Step 4: Simplify right side
    504,819.85x = 315,506,300,062.14
  5. Step 5: Solve for x
    x = 315,506,300,062.14/504,819.85
  6. Step 6: Final answer
    x = 624,987.90

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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.