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Finding the Fourth Proportional to 353,068.82, 487,275.80 and 209,827.62

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Solution

The fourth proportional to 353,068.82, 487,275.80 and 209,827.62 is: 289,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,068.82 : 487,275.80 = 209,827.62 : x
  2. Step 2: Convert to fraction form
    353,068.82/487,275.80 = 209,827.62/x
  3. Step 3: Cross multiply
    353,068.82x = 487,275.80 × 209,827.62
  4. Step 4: Simplify right side
    353,068.82x = 102,243,921,397.60
  5. Step 5: Solve for x
    x = 102,243,921,397.60/353,068.82
  6. Step 6: Final answer
    x = 289,586.38

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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.