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Finding the Fourth Proportional to 344,292.56, 475,180.08 and 286,840.78

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Solution

The fourth proportional to 344,292.56, 475,180.08 and 286,840.78 is: 395,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,292.56 : 475,180.08 = 286,840.78 : x
  2. Step 2: Convert to fraction form
    344,292.56/475,180.08 = 286,840.78/x
  3. Step 3: Cross multiply
    344,292.56x = 475,180.08 × 286,840.78
  4. Step 4: Simplify right side
    344,292.56x = 136,301,026,457.29
  5. Step 5: Solve for x
    x = 136,301,026,457.29/344,292.56
  6. Step 6: Final answer
    x = 395,887.22

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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.