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Finding the Fourth Proportional to 489,424.16, 734,106.69 and 291,007.19

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Solution

The fourth proportional to 489,424.16, 734,106.69 and 291,007.19 is: 436,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,424.16 : 734,106.69 = 291,007.19 : x
  2. Step 2: Convert to fraction form
    489,424.16/734,106.69 = 291,007.19/x
  3. Step 3: Cross multiply
    489,424.16x = 734,106.69 × 291,007.19
  4. Step 4: Simplify right side
    489,424.16x = 213,630,321,346.57
  5. Step 5: Solve for x
    x = 213,630,321,346.57/489,424.16
  6. Step 6: Final answer
    x = 436,493.21

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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.