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Finding the Fourth Proportional to 317,643.48, 476,338.05 and 140,024.25

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Solution

The fourth proportional to 317,643.48, 476,338.05 and 140,024.25 is: 209,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,643.48 : 476,338.05 = 140,024.25 : x
  2. Step 2: Convert to fraction form
    317,643.48/476,338.05 = 140,024.25/x
  3. Step 3: Cross multiply
    317,643.48x = 476,338.05 × 140,024.25
  4. Step 4: Simplify right side
    317,643.48x = 66,698,878,197.71
  5. Step 5: Solve for x
    x = 66,698,878,197.71/317,643.48
  6. Step 6: Final answer
    x = 209,980.32

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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.