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Finding the Fourth Proportional to 524,201,998.40, 786,302,997.60 and 320,128,654.40

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Solution

The fourth proportional to 524,201,998.40, 786,302,997.60 and 320,128,654.40 is: 480,192,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,201,998.40 : 786,302,997.60 = 320,128,654.40 : x
  2. Step 2: Convert to fraction form
    524,201,998.40/786,302,997.60 = 320,128,654.40/x
  3. Step 3: Cross multiply
    524,201,998.40x = 786,302,997.60 × 320,128,654.40
  4. Step 4: Simplify right side
    524,201,998.40x = 251,718,120,572,374,432
  5. Step 5: Solve for x
    x = 251,718,120,572,374,432/524,201,998.40
  6. Step 6: Final answer
    x = 480,192,981.60

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1.5x scale

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.