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Finding the Fourth Proportional to 356,901.30, 492,564.96 and 213,661.26

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Solution

The fourth proportional to 356,901.30, 492,564.96 and 213,661.26 is: 294,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,901.30 : 492,564.96 = 213,661.26 : x
  2. Step 2: Convert to fraction form
    356,901.30/492,564.96 = 213,661.26/x
  3. Step 3: Cross multiply
    356,901.30x = 492,564.96 × 213,661.26
  4. Step 4: Simplify right side
    356,901.30x = 105,242,049,985.45
  5. Step 5: Solve for x
    x = 105,242,049,985.45/356,901.30
  6. Step 6: Final answer
    x = 294,877.18

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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.