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Finding the Fourth Proportional to 464,435.10, 696,652.65 and 438,774.30

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Solution

The fourth proportional to 464,435.10, 696,652.65 and 438,774.30 is: 658,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,435.10 : 696,652.65 = 438,774.30 : x
  2. Step 2: Convert to fraction form
    464,435.10/696,652.65 = 438,774.30/x
  3. Step 3: Cross multiply
    464,435.10x = 696,652.65 × 438,774.30
  4. Step 4: Simplify right side
    464,435.10x = 305,673,278,846.90
  5. Step 5: Solve for x
    x = 305,673,278,846.90/464,435.10
  6. Step 6: Final answer
    x = 658,161.45

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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.