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Finding the Fourth Proportional to 476,489,304.40, 714,733,956.60 and 428,116,363.60

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Solution

The fourth proportional to 476,489,304.40, 714,733,956.60 and 428,116,363.60 is: 642,174,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,489,304.40 : 714,733,956.60 = 428,116,363.60 : x
  2. Step 2: Convert to fraction form
    476,489,304.40/714,733,956.60 = 428,116,363.60/x
  3. Step 3: Cross multiply
    476,489,304.40x = 714,733,956.60 × 428,116,363.60
  4. Step 4: Simplify right side
    476,489,304.40x = 305,989,302,441,032,256
  5. Step 5: Solve for x
    x = 305,989,302,441,032,256/476,489,304.40
  6. Step 6: Final answer
    x = 642,174,545.40

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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.