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Finding the Fourth Proportional to 762,888,512, 1,144,503,354 and 278,214,320

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Solution

The fourth proportional to 762,888,512, 1,144,503,354 and 278,214,320 is: 417,383,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,888,512 : 1,144,503,354 = 278,214,320 : x
  2. Step 2: Convert to fraction form
    762,888,512/1,144,503,354 = 278,214,320/x
  3. Step 3: Cross multiply
    762,888,512x = 1,144,503,354 × 278,214,320
  4. Step 4: Simplify right side
    762,888,512x = 318,417,222,370,829,312
  5. Step 5: Solve for x
    x = 318,417,222,370,829,312/762,888,512
  6. Step 6: Final answer
    x = 417,383,690.23

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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.