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Finding the Fourth Proportional to 319,089.70, 478,051.35 and 259,603.30

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Solution

The fourth proportional to 319,089.70, 478,051.35 and 259,603.30 is: 388,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,089.70 : 478,051.35 = 259,603.30 : x
  2. Step 2: Convert to fraction form
    319,089.70/478,051.35 = 259,603.30/x
  3. Step 3: Cross multiply
    319,089.70x = 478,051.35 × 259,603.30
  4. Step 4: Simplify right side
    319,089.70x = 124,103,708,029.46
  5. Step 5: Solve for x
    x = 124,103,708,029.46/319,089.70
  6. Step 6: Final answer
    x = 388,930.47

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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.