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Finding the Fourth Proportional to 909,721,963.38, 1,360,992,541.32 and 689,029,048.70

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Solution

The fourth proportional to 909,721,963.38, 1,360,992,541.32 and 689,029,048.70 is: 1,030,824,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,721,963.38 : 1,360,992,541.32 = 689,029,048.70 : x
  2. Step 2: Convert to fraction form
    909,721,963.38/1,360,992,541.32 = 689,029,048.70/x
  3. Step 3: Cross multiply
    909,721,963.38x = 1,360,992,541.32 × 689,029,048.70
  4. Step 4: Simplify right side
    909,721,963.38x = 937,763,396,026,710,144
  5. Step 5: Solve for x
    x = 937,763,396,026,710,144/909,721,963.38
  6. Step 6: Final answer
    x = 1,030,824,179.01

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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.