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Finding the Fourth Proportional to 472,307.60, 708,464.59 and 172,664.91

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Solution

The fourth proportional to 472,307.60, 708,464.59 and 172,664.91 is: 258,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,307.60 : 708,464.59 = 172,664.91 : x
  2. Step 2: Convert to fraction form
    472,307.60/708,464.59 = 172,664.91/x
  3. Step 3: Cross multiply
    472,307.60x = 708,464.59 × 172,664.91
  4. Step 4: Simplify right side
    472,307.60x = 122,326,974,238.88
  5. Step 5: Solve for x
    x = 122,326,974,238.88/472,307.60
  6. Step 6: Final answer
    x = 258,998.53

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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.