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Finding the Fourth Proportional to 893,983, 1,233,696.54 and 491,575

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Solution

The fourth proportional to 893,983, 1,233,696.54 and 491,575 is: 678,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,983 : 1,233,696.54 = 491,575 : x
  2. Step 2: Convert to fraction form
    893,983/1,233,696.54 = 491,575/x
  3. Step 3: Cross multiply
    893,983x = 1,233,696.54 × 491,575
  4. Step 4: Simplify right side
    893,983x = 606,454,376,650.50
  5. Step 5: Solve for x
    x = 606,454,376,650.50/893,983
  6. Step 6: Final answer
    x = 678,373.50

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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.