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Finding the Fourth Proportional to 702,826.47, 969,840.95 and 412,408.06

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Solution

The fourth proportional to 702,826.47, 969,840.95 and 412,408.06 is: 569,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,826.47 : 969,840.95 = 412,408.06 : x
  2. Step 2: Convert to fraction form
    702,826.47/969,840.95 = 412,408.06/x
  3. Step 3: Cross multiply
    702,826.47x = 969,840.95 × 412,408.06
  4. Step 4: Simplify right side
    702,826.47x = 399,970,220,211.41
  5. Step 5: Solve for x
    x = 399,970,220,211.41/702,826.47
  6. Step 6: Final answer
    x = 569,088.16

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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.