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Finding the Fourth Proportional to 763,820.10, 1,054,071.99 and 419,678.06

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Solution

The fourth proportional to 763,820.10, 1,054,071.99 and 419,678.06 is: 579,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,820.10 : 1,054,071.99 = 419,678.06 : x
  2. Step 2: Convert to fraction form
    763,820.10/1,054,071.99 = 419,678.06/x
  3. Step 3: Cross multiply
    763,820.10x = 1,054,071.99 × 419,678.06
  4. Step 4: Simplify right side
    763,820.10x = 442,370,882,593.18
  5. Step 5: Solve for x
    x = 442,370,882,593.18/763,820.10
  6. Step 6: Final answer
    x = 579,155.85

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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.