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Finding the Fourth Proportional to 492,275.40, 738,413.10 and 118,298.40

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Solution

The fourth proportional to 492,275.40, 738,413.10 and 118,298.40 is: 177,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,275.40 : 738,413.10 = 118,298.40 : x
  2. Step 2: Convert to fraction form
    492,275.40/738,413.10 = 118,298.40/x
  3. Step 3: Cross multiply
    492,275.40x = 738,413.10 × 118,298.40
  4. Step 4: Simplify right side
    492,275.40x = 87,353,088,269.04
  5. Step 5: Solve for x
    x = 87,353,088,269.04/492,275.40
  6. Step 6: Final answer
    x = 177,447.60

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Why These Related Problems?

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