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Finding the Fourth Proportional to 255,643,842.90, 383,465,764.35 and 255,643,842.90

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Solution

The fourth proportional to 255,643,842.90, 383,465,764.35 and 255,643,842.90 is: 383,465,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,643,842.90 : 383,465,764.35 = 255,643,842.90 : x
  2. Step 2: Convert to fraction form
    255,643,842.90/383,465,764.35 = 255,643,842.90/x
  3. Step 3: Cross multiply
    255,643,842.90x = 383,465,764.35 × 255,643,842.90
  4. Step 4: Simplify right side
    255,643,842.90x = 98,030,661,619,019,824
  5. Step 5: Solve for x
    x = 98,030,661,619,019,824/255,643,842.90
  6. Step 6: Final answer
    x = 383,465,764.35

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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.