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Finding the Fourth Proportional to 1,428,584.84, 1,971,316.71 and 847,707.72

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Solution

The fourth proportional to 1,428,584.84, 1,971,316.71 and 847,707.72 is: 1,169,759.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,584.84 : 1,971,316.71 = 847,707.72 : x
  2. Step 2: Convert to fraction form
    1,428,584.84/1,971,316.71 = 847,707.72/x
  3. Step 3: Cross multiply
    1,428,584.84x = 1,971,316.71 × 847,707.72
  4. Step 4: Simplify right side
    1,428,584.84x = 1,671,100,393,632.00
  5. Step 5: Solve for x
    x = 1,671,100,393,632.00/1,428,584.84
  6. Step 6: Final answer
    x = 1,169,759.29

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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.