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Finding the Fourth Proportional to 702,672.52, 969,802.90 and 430,890

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Solution

The fourth proportional to 702,672.52, 969,802.90 and 430,890 is: 594,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,672.52 : 969,802.90 = 430,890 : x
  2. Step 2: Convert to fraction form
    702,672.52/969,802.90 = 430,890/x
  3. Step 3: Cross multiply
    702,672.52x = 969,802.90 × 430,890
  4. Step 4: Simplify right side
    702,672.52x = 417,878,371,581
  5. Step 5: Solve for x
    x = 417,878,371,581/702,672.52
  6. Step 6: Final answer
    x = 594,698.61

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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.