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Finding the Fourth Proportional to 768,653.12, 1,153,102.56 and 325,486.40

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Solution

The fourth proportional to 768,653.12, 1,153,102.56 and 325,486.40 is: 488,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,653.12 : 1,153,102.56 = 325,486.40 : x
  2. Step 2: Convert to fraction form
    768,653.12/1,153,102.56 = 325,486.40/x
  3. Step 3: Cross multiply
    768,653.12x = 1,153,102.56 × 325,486.40
  4. Step 4: Simplify right side
    768,653.12x = 375,319,201,085.18
  5. Step 5: Solve for x
    x = 375,319,201,085.18/768,653.12
  6. Step 6: Final answer
    x = 488,281.63

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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.