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Finding the Fourth Proportional to 309,542.40, 463,950.72 and 142,980.48

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Solution

The fourth proportional to 309,542.40, 463,950.72 and 142,980.48 is: 214,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,542.40 : 463,950.72 = 142,980.48 : x
  2. Step 2: Convert to fraction form
    309,542.40/463,950.72 = 142,980.48/x
  3. Step 3: Cross multiply
    309,542.40x = 463,950.72 × 142,980.48
  4. Step 4: Simplify right side
    309,542.40x = 66,335,896,641.95
  5. Step 5: Solve for x
    x = 66,335,896,641.95/309,542.40
  6. Step 6: Final answer
    x = 214,303.10

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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.