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Finding the Fourth Proportional to 488,730.40, 732,512.40 and 204,420.40

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Solution

The fourth proportional to 488,730.40, 732,512.40 and 204,420.40 is: 306,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,730.40 : 732,512.40 = 204,420.40 : x
  2. Step 2: Convert to fraction form
    488,730.40/732,512.40 = 204,420.40/x
  3. Step 3: Cross multiply
    488,730.40x = 732,512.40 × 204,420.40
  4. Step 4: Simplify right side
    488,730.40x = 149,740,477,812.96
  5. Step 5: Solve for x
    x = 149,740,477,812.96/488,730.40
  6. Step 6: Final answer
    x = 306,386.67

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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.