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Finding the Fourth Proportional to 498,078.90, 747,038.16 and 143,012.16

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Solution

The fourth proportional to 498,078.90, 747,038.16 and 143,012.16 is: 214,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,078.90 : 747,038.16 = 143,012.16 : x
  2. Step 2: Convert to fraction form
    498,078.90/747,038.16 = 143,012.16/x
  3. Step 3: Cross multiply
    498,078.90x = 747,038.16 × 143,012.16
  4. Step 4: Simplify right side
    498,078.90x = 106,835,540,864.03
  5. Step 5: Solve for x
    x = 106,835,540,864.03/498,078.90
  6. Step 6: Final answer
    x = 214,495.22

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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.