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Finding the Fourth Proportional to 615,317,493.10, 922,978,606.22 and 148,978,140.16

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Solution

The fourth proportional to 615,317,493.10, 922,978,606.22 and 148,978,140.16 is: 223,467,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,317,493.10 : 922,978,606.22 = 148,978,140.16 : x
  2. Step 2: Convert to fraction form
    615,317,493.10/922,978,606.22 = 148,978,140.16/x
  3. Step 3: Cross multiply
    615,317,493.10x = 922,978,606.22 × 148,978,140.16
  4. Step 4: Simplify right side
    615,317,493.10x = 137,503,636,162,124,608
  5. Step 5: Solve for x
    x = 137,503,636,162,124,608/615,317,493.10
  6. Step 6: Final answer
    x = 223,467,783.22

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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.