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Finding the Fourth Proportional to 292,010.78, 402,980.74 and 164,661.50

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Solution

The fourth proportional to 292,010.78, 402,980.74 and 164,661.50 is: 227,236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,010.78 : 402,980.74 = 164,661.50 : x
  2. Step 2: Convert to fraction form
    292,010.78/402,980.74 = 164,661.50/x
  3. Step 3: Cross multiply
    292,010.78x = 402,980.74 × 164,661.50
  4. Step 4: Simplify right side
    292,010.78x = 66,355,413,119.51
  5. Step 5: Solve for x
    x = 66,355,413,119.51/292,010.78
  6. Step 6: Final answer
    x = 227,236.18

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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.