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Finding the Fourth Proportional to 519,048,687.80, 778,573,031.70 and 458,582,511.80

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Solution

The fourth proportional to 519,048,687.80, 778,573,031.70 and 458,582,511.80 is: 687,873,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,048,687.80 : 778,573,031.70 = 458,582,511.80 : x
  2. Step 2: Convert to fraction form
    519,048,687.80/778,573,031.70 = 458,582,511.80/x
  3. Step 3: Cross multiply
    519,048,687.80x = 778,573,031.70 × 458,582,511.80
  4. Step 4: Simplify right side
    519,048,687.80x = 357,039,976,496,727,040
  5. Step 5: Solve for x
    x = 357,039,976,496,727,040/519,048,687.80
  6. Step 6: Final answer
    x = 687,873,767.70

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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.