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Finding the Fourth Proportional to 354,656.80, 489,359.24 and 211,430.16

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Solution

The fourth proportional to 354,656.80, 489,359.24 and 211,430.16 is: 291,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,656.80 : 489,359.24 = 211,430.16 : x
  2. Step 2: Convert to fraction form
    354,656.80/489,359.24 = 211,430.16/x
  3. Step 3: Cross multiply
    354,656.80x = 489,359.24 × 211,430.16
  4. Step 4: Simplify right side
    354,656.80x = 103,465,302,410.68
  5. Step 5: Solve for x
    x = 103,465,302,410.68/354,656.80
  6. Step 6: Final answer
    x = 291,733.59

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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.