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Finding the Fourth Proportional to 201,620,459.48, 302,430,689.21 and 201,620,459.48

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Solution

The fourth proportional to 201,620,459.48, 302,430,689.21 and 201,620,459.48 is: 302,430,689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,620,459.48 : 302,430,689.21 = 201,620,459.48 : x
  2. Step 2: Convert to fraction form
    201,620,459.48/302,430,689.21 = 201,620,459.48/x
  3. Step 3: Cross multiply
    201,620,459.48x = 302,430,689.21 × 201,620,459.48
  4. Step 4: Simplify right side
    201,620,459.48x = 60,976,214,518,365,168
  5. Step 5: Solve for x
    x = 60,976,214,518,365,168/201,620,459.48
  6. Step 6: Final answer
    x = 302,430,689.21

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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.