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Finding the Fourth Proportional to 317,417.76, 476,015.92 and 139,827.89

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Solution

The fourth proportional to 317,417.76, 476,015.92 and 139,827.89 is: 209,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,417.76 : 476,015.92 = 139,827.89 : x
  2. Step 2: Convert to fraction form
    317,417.76/476,015.92 = 139,827.89/x
  3. Step 3: Cross multiply
    317,417.76x = 476,015.92 × 139,827.89
  4. Step 4: Simplify right side
    317,417.76x = 66,560,301,700.01
  5. Step 5: Solve for x
    x = 66,560,301,700.01/317,417.76
  6. Step 6: Final answer
    x = 209,693.06

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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.