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Finding the Fourth Proportional to 1,277,331.04, 1,913,827.62 and 770,827.71

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Solution

The fourth proportional to 1,277,331.04, 1,913,827.62 and 770,827.71 is: 1,154,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,331.04 : 1,913,827.62 = 770,827.71 : x
  2. Step 2: Convert to fraction form
    1,277,331.04/1,913,827.62 = 770,827.71/x
  3. Step 3: Cross multiply
    1,277,331.04x = 1,913,827.62 × 770,827.71
  4. Step 4: Simplify right side
    1,277,331.04x = 1,475,231,356,625.62
  5. Step 5: Solve for x
    x = 1,475,231,356,625.62/1,277,331.04
  6. Step 6: Final answer
    x = 1,154,932.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.