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Finding the Fourth Proportional to 319,313.52, 478,710.54 and 119,521.98

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Solution

The fourth proportional to 319,313.52, 478,710.54 and 119,521.98 is: 179,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,313.52 : 478,710.54 = 119,521.98 : x
  2. Step 2: Convert to fraction form
    319,313.52/478,710.54 = 119,521.98/x
  3. Step 3: Cross multiply
    319,313.52x = 478,710.54 × 119,521.98
  4. Step 4: Simplify right side
    319,313.52x = 57,216,431,587.67
  5. Step 5: Solve for x
    x = 57,216,431,587.67/319,313.52
  6. Step 6: Final answer
    x = 179,185.75

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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.