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Finding the Fourth Proportional to 319,256, 478,886.40 and 141,715.28

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Solution

The fourth proportional to 319,256, 478,886.40 and 141,715.28 is: 212,573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,256 : 478,886.40 = 141,715.28 : x
  2. Step 2: Convert to fraction form
    319,256/478,886.40 = 141,715.28/x
  3. Step 3: Cross multiply
    319,256x = 478,886.40 × 141,715.28
  4. Step 4: Simplify right side
    319,256x = 67,865,520,264.19
  5. Step 5: Solve for x
    x = 67,865,520,264.19/319,256
  6. Step 6: Final answer
    x = 212,573.99

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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.