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Finding the Fourth Proportional to 649,232.90, 978,280.86 and 533,496.86

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Solution

The fourth proportional to 649,232.90, 978,280.86 and 533,496.86 is: 803,886.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,232.90 : 978,280.86 = 533,496.86 : x
  2. Step 2: Convert to fraction form
    649,232.90/978,280.86 = 533,496.86/x
  3. Step 3: Cross multiply
    649,232.90x = 978,280.86 × 533,496.86
  4. Step 4: Simplify right side
    649,232.90x = 521,909,762,116.70
  5. Step 5: Solve for x
    x = 521,909,762,116.70/649,232.90
  6. Step 6: Final answer
    x = 803,886.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.