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Finding the Fourth Proportional to 492,430.90, 738,725.32 and 208,124.22

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Solution

The fourth proportional to 492,430.90, 738,725.32 and 208,124.22 is: 312,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,430.90 : 738,725.32 = 208,124.22 : x
  2. Step 2: Convert to fraction form
    492,430.90/738,725.32 = 208,124.22/x
  3. Step 3: Cross multiply
    492,430.90x = 738,725.32 × 208,124.22
  4. Step 4: Simplify right side
    492,430.90x = 153,746,631,019.25
  5. Step 5: Solve for x
    x = 153,746,631,019.25/492,430.90
  6. Step 6: Final answer
    x = 312,219.71

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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.