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Finding the Fourth Proportional to 314,971,627.20, 472,457,440.80 and 185,446,276.80

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Solution

The fourth proportional to 314,971,627.20, 472,457,440.80 and 185,446,276.80 is: 278,169,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,971,627.20 : 472,457,440.80 = 185,446,276.80 : x
  2. Step 2: Convert to fraction form
    314,971,627.20/472,457,440.80 = 185,446,276.80/x
  3. Step 3: Cross multiply
    314,971,627.20x = 472,457,440.80 × 185,446,276.80
  4. Step 4: Simplify right side
    314,971,627.20x = 87,615,473,342,816,416
  5. Step 5: Solve for x
    x = 87,615,473,342,816,416/314,971,627.20
  6. Step 6: Final answer
    x = 278,169,415.20

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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.