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Finding the Fourth Proportional to 783,307, 1,080,970.26 and 425,611

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Solution

The fourth proportional to 783,307, 1,080,970.26 and 425,611 is: 587,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,307 : 1,080,970.26 = 425,611 : x
  2. Step 2: Convert to fraction form
    783,307/1,080,970.26 = 425,611/x
  3. Step 3: Cross multiply
    783,307x = 1,080,970.26 × 425,611
  4. Step 4: Simplify right side
    783,307x = 460,072,833,328.86
  5. Step 5: Solve for x
    x = 460,072,833,328.86/783,307
  6. Step 6: Final answer
    x = 587,346.77

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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.