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Finding the Fourth Proportional to 1,600,627,393, 2,208,865,802.34 and 868,065,985

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Solution

The fourth proportional to 1,600,627,393, 2,208,865,802.34 and 868,065,985 is: 1,197,931,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,627,393 : 2,208,865,802.34 = 868,065,985 : x
  2. Step 2: Convert to fraction form
    1,600,627,393/2,208,865,802.34 = 868,065,985/x
  3. Step 3: Cross multiply
    1,600,627,393x = 2,208,865,802.34 × 868,065,985
  4. Step 4: Simplify right side
    1,600,627,393x = 1,917,441,268,441,087,488
  5. Step 5: Solve for x
    x = 1,917,441,268,441,087,488/1,600,627,393
  6. Step 6: Final answer
    x = 1,197,931,059.30

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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.