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Finding the Fourth Proportional to 230,345.31, 317,782.88 and 152,857.49

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Solution

The fourth proportional to 230,345.31, 317,782.88 and 152,857.49 is: 210,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,345.31 : 317,782.88 = 152,857.49 : x
  2. Step 2: Convert to fraction form
    230,345.31/317,782.88 = 152,857.49/x
  3. Step 3: Cross multiply
    230,345.31x = 317,782.88 × 152,857.49
  4. Step 4: Simplify right side
    230,345.31x = 48,575,493,401.77
  5. Step 5: Solve for x
    x = 48,575,493,401.77/230,345.31
  6. Step 6: Final answer
    x = 210,881.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.