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Finding the Fourth Proportional to 417,319.29, 625,768.43 and 297,307.66

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Solution

The fourth proportional to 417,319.29, 625,768.43 and 297,307.66 is: 445,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,319.29 : 625,768.43 = 297,307.66 : x
  2. Step 2: Convert to fraction form
    417,319.29/625,768.43 = 297,307.66/x
  3. Step 3: Cross multiply
    417,319.29x = 625,768.43 × 297,307.66
  4. Step 4: Simplify right side
    417,319.29x = 186,045,746,138.64
  5. Step 5: Solve for x
    x = 186,045,746,138.64/417,319.29
  6. Step 6: Final answer
    x = 445,811.52

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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.