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Finding the Fourth Proportional to 770,004, 1,155,120.84 and 320,468.91

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Solution

The fourth proportional to 770,004, 1,155,120.84 and 320,468.91 is: 480,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,004 : 1,155,120.84 = 320,468.91 : x
  2. Step 2: Convert to fraction form
    770,004/1,155,120.84 = 320,468.91/x
  3. Step 3: Cross multiply
    770,004x = 1,155,120.84 × 320,468.91
  4. Step 4: Simplify right side
    770,004x = 370,180,316,513.08
  5. Step 5: Solve for x
    x = 370,180,316,513.08/770,004
  6. Step 6: Final answer
    x = 480,751.16

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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.