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Finding the Fourth Proportional to 498,937.89, 748,880 and 308,823.18

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Solution

The fourth proportional to 498,937.89, 748,880 and 308,823.18 is: 463,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,937.89 : 748,880 = 308,823.18 : x
  2. Step 2: Convert to fraction form
    498,937.89/748,880 = 308,823.18/x
  3. Step 3: Cross multiply
    498,937.89x = 748,880 × 308,823.18
  4. Step 4: Simplify right side
    498,937.89x = 231,271,503,038.40
  5. Step 5: Solve for x
    x = 231,271,503,038.40/498,937.89
  6. Step 6: Final answer
    x = 463,527.64

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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.