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Finding the Fourth Proportional to 472,842.40, 709,263.60 and 236,221.60

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Solution

The fourth proportional to 472,842.40, 709,263.60 and 236,221.60 is: 354,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,842.40 : 709,263.60 = 236,221.60 : x
  2. Step 2: Convert to fraction form
    472,842.40/709,263.60 = 236,221.60/x
  3. Step 3: Cross multiply
    472,842.40x = 709,263.60 × 236,221.60
  4. Step 4: Simplify right side
    472,842.40x = 167,543,382,413.76
  5. Step 5: Solve for x
    x = 167,543,382,413.76/472,842.40
  6. Step 6: Final answer
    x = 354,332.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.