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Finding the Fourth Proportional to 213,089.60, 319,634.40 and 209,590.40

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Solution

The fourth proportional to 213,089.60, 319,634.40 and 209,590.40 is: 314,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,089.60 : 319,634.40 = 209,590.40 : x
  2. Step 2: Convert to fraction form
    213,089.60/319,634.40 = 209,590.40/x
  3. Step 3: Cross multiply
    213,089.60x = 319,634.40 × 209,590.40
  4. Step 4: Simplify right side
    213,089.60x = 66,992,301,749.76
  5. Step 5: Solve for x
    x = 66,992,301,749.76/213,089.60
  6. Step 6: Final answer
    x = 314,385.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.