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Finding the Fourth Proportional to 780,897, 1,077,638.58 and 423,201

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Solution

The fourth proportional to 780,897, 1,077,638.58 and 423,201 is: 584,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,897 : 1,077,638.58 = 423,201 : x
  2. Step 2: Convert to fraction form
    780,897/1,077,638.58 = 423,201/x
  3. Step 3: Cross multiply
    780,897x = 1,077,638.58 × 423,201
  4. Step 4: Simplify right side
    780,897x = 456,057,724,694.58
  5. Step 5: Solve for x
    x = 456,057,724,694.58/780,897
  6. Step 6: Final answer
    x = 584,017.77

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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.