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Finding the Fourth Proportional to 708,270.50, 977,413.29 and 390,318.50

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Solution

The fourth proportional to 708,270.50, 977,413.29 and 390,318.50 is: 538,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,270.50 : 977,413.29 = 390,318.50 : x
  2. Step 2: Convert to fraction form
    708,270.50/977,413.29 = 390,318.50/x
  3. Step 3: Cross multiply
    708,270.50x = 977,413.29 × 390,318.50
  4. Step 4: Simplify right side
    708,270.50x = 381,502,489,232.87
  5. Step 5: Solve for x
    x = 381,502,489,232.87/708,270.50
  6. Step 6: Final answer
    x = 538,639.53

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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.