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Finding the Fourth Proportional to 646,875.40, 968,009.10 and 410,331.40

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Solution

The fourth proportional to 646,875.40, 968,009.10 and 410,331.40 is: 614,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,875.40 : 968,009.10 = 410,331.40 : x
  2. Step 2: Convert to fraction form
    646,875.40/968,009.10 = 410,331.40/x
  3. Step 3: Cross multiply
    646,875.40x = 968,009.10 × 410,331.40
  4. Step 4: Simplify right side
    646,875.40x = 397,204,529,215.74
  5. Step 5: Solve for x
    x = 397,204,529,215.74/646,875.40
  6. Step 6: Final answer
    x = 614,035.61

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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.