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Finding the Fourth Proportional to 649,397.76, 974,113.32 and 307,761

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Solution

The fourth proportional to 649,397.76, 974,113.32 and 307,761 is: 461,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,397.76 : 974,113.32 = 307,761 : x
  2. Step 2: Convert to fraction form
    649,397.76/974,113.32 = 307,761/x
  3. Step 3: Cross multiply
    649,397.76x = 974,113.32 × 307,761
  4. Step 4: Simplify right side
    649,397.76x = 299,794,089,476.52
  5. Step 5: Solve for x
    x = 299,794,089,476.52/649,397.76
  6. Step 6: Final answer
    x = 461,649.40

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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.