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Finding the Fourth Proportional to 357,306.52, 492,987.09 and 211,991.45

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Solution

The fourth proportional to 357,306.52, 492,987.09 and 211,991.45 is: 292,491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,306.52 : 492,987.09 = 211,991.45 : x
  2. Step 2: Convert to fraction form
    357,306.52/492,987.09 = 211,991.45/x
  3. Step 3: Cross multiply
    357,306.52x = 492,987.09 × 211,991.45
  4. Step 4: Simplify right side
    357,306.52x = 104,509,048,741.31
  5. Step 5: Solve for x
    x = 104,509,048,741.31/357,306.52
  6. Step 6: Final answer
    x = 292,491.30

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1.5x scale

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.