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Finding the Fourth Proportional to 421,959,201.40, 632,938,802.10 and 414,400,929.40

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Solution

The fourth proportional to 421,959,201.40, 632,938,802.10 and 414,400,929.40 is: 621,601,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,959,201.40 : 632,938,802.10 = 414,400,929.40 : x
  2. Step 2: Convert to fraction form
    421,959,201.40/632,938,802.10 = 414,400,929.40/x
  3. Step 3: Cross multiply
    421,959,201.40x = 632,938,802.10 × 414,400,929.40
  4. Step 4: Simplify right side
    421,959,201.40x = 262,290,427,843,562,656
  5. Step 5: Solve for x
    x = 262,290,427,843,562,656/421,959,201.40
  6. Step 6: Final answer
    x = 621,601,394.10

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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.