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Finding the Fourth Proportional to 354,357,780.80, 494,891,569.60 and 354,357,780.80

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Solution

The fourth proportional to 354,357,780.80, 494,891,569.60 and 354,357,780.80 is: 494,891,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,357,780.80 : 494,891,569.60 = 354,357,780.80 : x
  2. Step 2: Convert to fraction form
    354,357,780.80/494,891,569.60 = 354,357,780.80/x
  3. Step 3: Cross multiply
    354,357,780.80x = 494,891,569.60 × 354,357,780.80
  4. Step 4: Simplify right side
    354,357,780.80x = 175,368,678,340,084,768
  5. Step 5: Solve for x
    x = 175,368,678,340,084,768/354,357,780.80
  6. Step 6: Final answer
    x = 494,891,569.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.