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Finding the Fourth Proportional to 319,258, 478,889.40 and 141,717.28

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Solution

The fourth proportional to 319,258, 478,889.40 and 141,717.28 is: 212,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,258 : 478,889.40 = 141,717.28 : x
  2. Step 2: Convert to fraction form
    319,258/478,889.40 = 141,717.28/x
  3. Step 3: Cross multiply
    319,258x = 478,889.40 × 141,717.28
  4. Step 4: Simplify right side
    319,258x = 67,866,903,188.83
  5. Step 5: Solve for x
    x = 67,866,903,188.83/319,258
  6. Step 6: Final answer
    x = 212,576.99

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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.