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Finding the Fourth Proportional to 432,032.90, 648,049.35 and 407,101.10

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Solution

The fourth proportional to 432,032.90, 648,049.35 and 407,101.10 is: 610,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,032.90 : 648,049.35 = 407,101.10 : x
  2. Step 2: Convert to fraction form
    432,032.90/648,049.35 = 407,101.10/x
  3. Step 3: Cross multiply
    432,032.90x = 648,049.35 × 407,101.10
  4. Step 4: Simplify right side
    432,032.90x = 263,821,603,239.29
  5. Step 5: Solve for x
    x = 263,821,603,239.29/432,032.90
  6. Step 6: Final answer
    x = 610,651.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.