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Finding the Fourth Proportional to 528,355.28, 729,413.16 and 407,231.12

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Solution

The fourth proportional to 528,355.28, 729,413.16 and 407,231.12 is: 562,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,355.28 : 729,413.16 = 407,231.12 : x
  2. Step 2: Convert to fraction form
    528,355.28/729,413.16 = 407,231.12/x
  3. Step 3: Cross multiply
    528,355.28x = 729,413.16 × 407,231.12
  4. Step 4: Simplify right side
    528,355.28x = 297,039,738,089.54
  5. Step 5: Solve for x
    x = 297,039,738,089.54/528,355.28
  6. Step 6: Final answer
    x = 562,196.97

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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.