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Finding the Fourth Proportional to 405,963,829.10, 608,945,743.65 and 405,963,829.10

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Solution

The fourth proportional to 405,963,829.10, 608,945,743.65 and 405,963,829.10 is: 608,945,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,963,829.10 : 608,945,743.65 = 405,963,829.10 : x
  2. Step 2: Convert to fraction form
    405,963,829.10/608,945,743.65 = 405,963,829.10/x
  3. Step 3: Cross multiply
    405,963,829.10x = 608,945,743.65 × 405,963,829.10
  4. Step 4: Simplify right side
    405,963,829.10x = 247,209,945,806,301,024
  5. Step 5: Solve for x
    x = 247,209,945,806,301,024/405,963,829.10
  6. Step 6: Final answer
    x = 608,945,743.65

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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.