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Finding the Fourth Proportional to 783,803, 1,081,656.78 and 426,107

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Solution

The fourth proportional to 783,803, 1,081,656.78 and 426,107 is: 588,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,803 : 1,081,656.78 = 426,107 : x
  2. Step 2: Convert to fraction form
    783,803/1,081,656.78 = 426,107/x
  3. Step 3: Cross multiply
    783,803x = 1,081,656.78 × 426,107
  4. Step 4: Simplify right side
    783,803x = 460,901,525,555.46
  5. Step 5: Solve for x
    x = 460,901,525,555.46/783,803
  6. Step 6: Final answer
    x = 588,032.36

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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.