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Finding the Fourth Proportional to 356,730, 492,287.40 and 205,827

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Solution

The fourth proportional to 356,730, 492,287.40 and 205,827 is: 284,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,730 : 492,287.40 = 205,827 : x
  2. Step 2: Convert to fraction form
    356,730/492,287.40 = 205,827/x
  3. Step 3: Cross multiply
    356,730x = 492,287.40 × 205,827
  4. Step 4: Simplify right side
    356,730x = 101,326,038,679.80
  5. Step 5: Solve for x
    x = 101,326,038,679.80/356,730
  6. Step 6: Final answer
    x = 284,041.26

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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.