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Finding the Fourth Proportional to 584,007.60, 805,874.42 and 354,690.36

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Solution

The fourth proportional to 584,007.60, 805,874.42 and 354,690.36 is: 489,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,007.60 : 805,874.42 = 354,690.36 : x
  2. Step 2: Convert to fraction form
    584,007.60/805,874.42 = 354,690.36/x
  3. Step 3: Cross multiply
    584,007.60x = 805,874.42 × 354,690.36
  4. Step 4: Simplify right side
    584,007.60x = 285,835,888,144.59
  5. Step 5: Solve for x
    x = 285,835,888,144.59/584,007.60
  6. Step 6: Final answer
    x = 489,438.64

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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.