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Finding the Fourth Proportional to 342,317.76, 513,271.60 and 162,447.95

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Solution

The fourth proportional to 342,317.76, 513,271.60 and 162,447.95 is: 243,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,317.76 : 513,271.60 = 162,447.95 : x
  2. Step 2: Convert to fraction form
    342,317.76/513,271.60 = 162,447.95/x
  3. Step 3: Cross multiply
    342,317.76x = 513,271.60 × 162,447.95
  4. Step 4: Simplify right side
    342,317.76x = 83,379,918,116.90
  5. Step 5: Solve for x
    x = 83,379,918,116.90/342,317.76
  6. Step 6: Final answer
    x = 243,574.62

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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.