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Finding the Fourth Proportional to 488,643.60, 732,941.10 and 252,010.20

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Solution

The fourth proportional to 488,643.60, 732,941.10 and 252,010.20 is: 378,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,643.60 : 732,941.10 = 252,010.20 : x
  2. Step 2: Convert to fraction form
    488,643.60/732,941.10 = 252,010.20/x
  3. Step 3: Cross multiply
    488,643.60x = 732,941.10 × 252,010.20
  4. Step 4: Simplify right side
    488,643.60x = 184,708,633,199.22
  5. Step 5: Solve for x
    x = 184,708,633,199.22/488,643.60
  6. Step 6: Final answer
    x = 378,002.77

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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.