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Finding the Fourth Proportional to 649,688.47, 896,575.76 and 359,284.94

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Solution

The fourth proportional to 649,688.47, 896,575.76 and 359,284.94 is: 495,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,688.47 : 896,575.76 = 359,284.94 : x
  2. Step 2: Convert to fraction form
    649,688.47/896,575.76 = 359,284.94/x
  3. Step 3: Cross multiply
    649,688.47x = 896,575.76 × 359,284.94
  4. Step 4: Simplify right side
    649,688.47x = 322,126,170,099.34
  5. Step 5: Solve for x
    x = 322,126,170,099.34/649,688.47
  6. Step 6: Final answer
    x = 495,816.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.