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Finding the Fourth Proportional to 760,656, 1,049,705.28 and 421,146.12

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Solution

The fourth proportional to 760,656, 1,049,705.28 and 421,146.12 is: 581,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,656 : 1,049,705.28 = 421,146.12 : x
  2. Step 2: Convert to fraction form
    760,656/1,049,705.28 = 421,146.12/x
  3. Step 3: Cross multiply
    760,656x = 1,049,705.28 × 421,146.12
  4. Step 4: Simplify right side
    760,656x = 442,079,305,815.51
  5. Step 5: Solve for x
    x = 442,079,305,815.51/760,656
  6. Step 6: Final answer
    x = 581,181.65

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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.