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Finding the Fourth Proportional to 417,658,214.40, 626,487,321.60 and 355,848,345.60

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Solution

The fourth proportional to 417,658,214.40, 626,487,321.60 and 355,848,345.60 is: 533,772,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,658,214.40 : 626,487,321.60 = 355,848,345.60 : x
  2. Step 2: Convert to fraction form
    417,658,214.40/626,487,321.60 = 355,848,345.60/x
  3. Step 3: Cross multiply
    417,658,214.40x = 626,487,321.60 × 355,848,345.60
  4. Step 4: Simplify right side
    417,658,214.40x = 222,934,476,930,735,168
  5. Step 5: Solve for x
    x = 222,934,476,930,735,168/417,658,214.40
  6. Step 6: Final answer
    x = 533,772,518.40

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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.