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Finding the Fourth Proportional to 492,608.02, 739,203.87 and 208,283.05

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Solution

The fourth proportional to 492,608.02, 739,203.87 and 208,283.05 is: 312,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,608.02 : 739,203.87 = 208,283.05 : x
  2. Step 2: Convert to fraction form
    492,608.02/739,203.87 = 208,283.05/x
  3. Step 3: Cross multiply
    492,608.02x = 739,203.87 × 208,283.05
  4. Step 4: Simplify right side
    492,608.02x = 153,963,636,615.40
  5. Step 5: Solve for x
    x = 153,963,636,615.40/492,608.02
  6. Step 6: Final answer
    x = 312,547.97

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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.