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Finding the Fourth Proportional to 210,482.40, 290,456.64 and 114,984.48

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Solution

The fourth proportional to 210,482.40, 290,456.64 and 114,984.48 is: 158,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,482.40 : 290,456.64 = 114,984.48 : x
  2. Step 2: Convert to fraction form
    210,482.40/290,456.64 = 114,984.48/x
  3. Step 3: Cross multiply
    210,482.40x = 290,456.64 × 114,984.48
  4. Step 4: Simplify right side
    210,482.40x = 33,398,005,712.95
  5. Step 5: Solve for x
    x = 33,398,005,712.95/210,482.40
  6. Step 6: Final answer
    x = 158,673.63

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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.