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Finding the Fourth Proportional to 356,698.38, 492,259.29 and 213,430.98

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Solution

The fourth proportional to 356,698.38, 492,259.29 and 213,430.98 is: 294,544.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,698.38 : 492,259.29 = 213,430.98 : x
  2. Step 2: Convert to fraction form
    356,698.38/492,259.29 = 213,430.98/x
  3. Step 3: Cross multiply
    356,698.38x = 492,259.29 × 213,430.98
  4. Step 4: Simplify right side
    356,698.38x = 105,063,382,678.80
  5. Step 5: Solve for x
    x = 105,063,382,678.80/356,698.38
  6. Step 6: Final answer
    x = 294,544.04

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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.