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Finding the Fourth Proportional to 314,929,706.40, 472,394,559.60 and 200,421,885.60

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Solution

The fourth proportional to 314,929,706.40, 472,394,559.60 and 200,421,885.60 is: 300,632,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,929,706.40 : 472,394,559.60 = 200,421,885.60 : x
  2. Step 2: Convert to fraction form
    314,929,706.40/472,394,559.60 = 200,421,885.60/x
  3. Step 3: Cross multiply
    314,929,706.40x = 472,394,559.60 × 200,421,885.60
  4. Step 4: Simplify right side
    314,929,706.40x = 94,678,208,382,213,584
  5. Step 5: Solve for x
    x = 94,678,208,382,213,584/314,929,706.40
  6. Step 6: Final answer
    x = 300,632,828.40

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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.