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Finding the Fourth Proportional to 783,802, 1,081,655.40 and 426,106

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Solution

The fourth proportional to 783,802, 1,081,655.40 and 426,106 is: 588,030.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,802 : 1,081,655.40 = 426,106 : x
  2. Step 2: Convert to fraction form
    783,802/1,081,655.40 = 426,106/x
  3. Step 3: Cross multiply
    783,802x = 1,081,655.40 × 426,106
  4. Step 4: Simplify right side
    783,802x = 460,899,855,872.40
  5. Step 5: Solve for x
    x = 460,899,855,872.40/783,802
  6. Step 6: Final answer
    x = 588,030.98

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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.