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Finding the Fourth Proportional to 471,857.09, 708,089.99 and 172,312.61

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Solution

The fourth proportional to 471,857.09, 708,089.99 and 172,312.61 is: 258,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,857.09 : 708,089.99 = 172,312.61 : x
  2. Step 2: Convert to fraction form
    471,857.09/708,089.99 = 172,312.61/x
  3. Step 3: Cross multiply
    471,857.09x = 708,089.99 × 172,312.61
  4. Step 4: Simplify right side
    471,857.09x = 122,012,829,889.76
  5. Step 5: Solve for x
    x = 122,012,829,889.76/471,857.09
  6. Step 6: Final answer
    x = 258,580.05

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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.