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Finding the Fourth Proportional to 342,840.60, 513,386.10 and 272,856.60

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Solution

The fourth proportional to 342,840.60, 513,386.10 and 272,856.60 is: 408,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,840.60 : 513,386.10 = 272,856.60 : x
  2. Step 2: Convert to fraction form
    342,840.60/513,386.10 = 272,856.60/x
  3. Step 3: Cross multiply
    342,840.60x = 513,386.10 × 272,856.60
  4. Step 4: Simplify right side
    342,840.60x = 140,080,785,733.26
  5. Step 5: Solve for x
    x = 140,080,785,733.26/342,840.60
  6. Step 6: Final answer
    x = 408,588.67

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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.