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Finding the Fourth Proportional to 342,368.87, 513,674.85 and 152,811.98

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Solution

The fourth proportional to 342,368.87, 513,674.85 and 152,811.98 is: 229,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,368.87 : 513,674.85 = 152,811.98 : x
  2. Step 2: Convert to fraction form
    342,368.87/513,674.85 = 152,811.98/x
  3. Step 3: Cross multiply
    342,368.87x = 513,674.85 × 152,811.98
  4. Step 4: Simplify right side
    342,368.87x = 78,495,670,904.70
  5. Step 5: Solve for x
    x = 78,495,670,904.70/342,368.87
  6. Step 6: Final answer
    x = 229,272.22

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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.