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Finding the Fourth Proportional to 785,284,958.69, 1,083,692,978.66 and 432,866,834.70

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Solution

The fourth proportional to 785,284,958.69, 1,083,692,978.66 and 432,866,834.70 is: 597,356,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,284,958.69 : 1,083,692,978.66 = 432,866,834.70 : x
  2. Step 2: Convert to fraction form
    785,284,958.69/1,083,692,978.66 = 432,866,834.70/x
  3. Step 3: Cross multiply
    785,284,958.69x = 1,083,692,978.66 × 432,866,834.70
  4. Step 4: Simplify right side
    785,284,958.69x = 469,094,749,457,004,480
  5. Step 5: Solve for x
    x = 469,094,749,457,004,480/785,284,958.69
  6. Step 6: Final answer
    x = 597,356,086.18

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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.