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Finding the Fourth Proportional to 682,679,315.81, 942,099,953.86 and 369,413,533.01

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Solution

The fourth proportional to 682,679,315.81, 942,099,953.86 and 369,413,533.01 is: 509,792,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,679,315.81 : 942,099,953.86 = 369,413,533.01 : x
  2. Step 2: Convert to fraction form
    682,679,315.81/942,099,953.86 = 369,413,533.01/x
  3. Step 3: Cross multiply
    682,679,315.81x = 942,099,953.86 × 369,413,533.01
  4. Step 4: Simplify right side
    682,679,315.81x = 348,024,472,406,801,280
  5. Step 5: Solve for x
    x = 348,024,472,406,801,280/682,679,315.81
  6. Step 6: Final answer
    x = 509,792,027.30

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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.