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Finding the Fourth Proportional to 301,105,412.40, 451,658,118.60 and 163,355,905.20

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Solution

The fourth proportional to 301,105,412.40, 451,658,118.60 and 163,355,905.20 is: 245,033,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,105,412.40 : 451,658,118.60 = 163,355,905.20 : x
  2. Step 2: Convert to fraction form
    301,105,412.40/451,658,118.60 = 163,355,905.20/x
  3. Step 3: Cross multiply
    301,105,412.40x = 451,658,118.60 × 163,355,905.20
  4. Step 4: Simplify right side
    301,105,412.40x = 73,781,020,804,831,952
  5. Step 5: Solve for x
    x = 73,781,020,804,831,952/301,105,412.40
  6. Step 6: Final answer
    x = 245,033,857.80

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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.