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Finding the Fourth Proportional to 319,710.60, 479,825.10 and 309,342.60

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Solution

The fourth proportional to 319,710.60, 479,825.10 and 309,342.60 is: 464,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,710.60 : 479,825.10 = 309,342.60 : x
  2. Step 2: Convert to fraction form
    319,710.60/479,825.10 = 309,342.60/x
  3. Step 3: Cross multiply
    319,710.60x = 479,825.10 × 309,342.60
  4. Step 4: Simplify right side
    319,710.60x = 148,430,343,979.26
  5. Step 5: Solve for x
    x = 148,430,343,979.26/319,710.60
  6. Step 6: Final answer
    x = 464,264.69

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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.