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Finding the Fourth Proportional to 342,172.46, 512,814.80 and 152,362.74

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Solution

The fourth proportional to 342,172.46, 512,814.80 and 152,362.74 is: 228,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,172.46 : 512,814.80 = 152,362.74 : x
  2. Step 2: Convert to fraction form
    342,172.46/512,814.80 = 152,362.74/x
  3. Step 3: Cross multiply
    342,172.46x = 512,814.80 × 152,362.74
  4. Step 4: Simplify right side
    342,172.46x = 78,133,868,040.55
  5. Step 5: Solve for x
    x = 78,133,868,040.55/342,172.46
  6. Step 6: Final answer
    x = 228,346.45

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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.