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Finding the Fourth Proportional to 346,968, 478,815.84 and 187,992

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Solution

The fourth proportional to 346,968, 478,815.84 and 187,992 is: 259,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,968 : 478,815.84 = 187,992 : x
  2. Step 2: Convert to fraction form
    346,968/478,815.84 = 187,992/x
  3. Step 3: Cross multiply
    346,968x = 478,815.84 × 187,992
  4. Step 4: Simplify right side
    346,968x = 90,013,547,393.28
  5. Step 5: Solve for x
    x = 90,013,547,393.28/346,968
  6. Step 6: Final answer
    x = 259,428.96

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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.