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Finding the Fourth Proportional to 420,003, 630,004.50 and 124,515

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Solution

The fourth proportional to 420,003, 630,004.50 and 124,515 is: 186,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,003 : 630,004.50 = 124,515 : x
  2. Step 2: Convert to fraction form
    420,003/630,004.50 = 124,515/x
  3. Step 3: Cross multiply
    420,003x = 630,004.50 × 124,515
  4. Step 4: Simplify right side
    420,003x = 78,445,010,317.50
  5. Step 5: Solve for x
    x = 78,445,010,317.50/420,003
  6. Step 6: Final answer
    x = 186,772.50

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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.