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Finding the Fourth Proportional to 488,129.60, 731,416.80 and 362,158.40

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Solution

The fourth proportional to 488,129.60, 731,416.80 and 362,158.40 is: 542,660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,129.60 : 731,416.80 = 362,158.40 : x
  2. Step 2: Convert to fraction form
    488,129.60/731,416.80 = 362,158.40/x
  3. Step 3: Cross multiply
    488,129.60x = 731,416.80 × 362,158.40
  4. Step 4: Simplify right side
    488,129.60x = 264,888,738,021.12
  5. Step 5: Solve for x
    x = 264,888,738,021.12/488,129.60
  6. Step 6: Final answer
    x = 542,660.67

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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.