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Finding the Fourth Proportional to 432,008.40, 648,012.60 and 243,051.60

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Solution

The fourth proportional to 432,008.40, 648,012.60 and 243,051.60 is: 364,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,008.40 : 648,012.60 = 243,051.60 : x
  2. Step 2: Convert to fraction form
    432,008.40/648,012.60 = 243,051.60/x
  3. Step 3: Cross multiply
    432,008.40x = 648,012.60 × 243,051.60
  4. Step 4: Simplify right side
    432,008.40x = 157,500,499,250.16
  5. Step 5: Solve for x
    x = 157,500,499,250.16/432,008.40
  6. Step 6: Final answer
    x = 364,577.40

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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.