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Finding the Fourth Proportional to 1,325,668.69, 1,829,482.82 and 781,827.40

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Solution

The fourth proportional to 1,325,668.69, 1,829,482.82 and 781,827.40 is: 1,078,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,668.69 : 1,829,482.82 = 781,827.40 : x
  2. Step 2: Convert to fraction form
    1,325,668.69/1,829,482.82 = 781,827.40/x
  3. Step 3: Cross multiply
    1,325,668.69x = 1,829,482.82 × 781,827.40
  4. Step 4: Simplify right side
    1,325,668.69x = 1,430,339,796,505.27
  5. Step 5: Solve for x
    x = 1,430,339,796,505.27/1,325,668.69
  6. Step 6: Final answer
    x = 1,078,957.21

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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.