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Finding the Fourth Proportional to 342,368.37, 513,674.10 and 152,811.48

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Solution

The fourth proportional to 342,368.37, 513,674.10 and 152,811.48 is: 229,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,368.37 : 513,674.10 = 152,811.48 : x
  2. Step 2: Convert to fraction form
    342,368.37/513,674.10 = 152,811.48/x
  3. Step 3: Cross multiply
    342,368.37x = 513,674.10 × 152,811.48
  4. Step 4: Simplify right side
    342,368.37x = 78,495,299,458.67
  5. Step 5: Solve for x
    x = 78,495,299,458.67/342,368.37
  6. Step 6: Final answer
    x = 229,271.47

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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.