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Finding the Fourth Proportional to 647,970.34, 893,894.25 and 421,533.22

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Solution

The fourth proportional to 647,970.34, 893,894.25 and 421,533.22 is: 581,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,970.34 : 893,894.25 = 421,533.22 : x
  2. Step 2: Convert to fraction form
    647,970.34/893,894.25 = 421,533.22/x
  3. Step 3: Cross multiply
    647,970.34x = 893,894.25 × 421,533.22
  4. Step 4: Simplify right side
    647,970.34x = 376,806,121,541.99
  5. Step 5: Solve for x
    x = 376,806,121,541.99/647,970.34
  6. Step 6: Final answer
    x = 581,517.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.