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Finding the Fourth Proportional to 514,498.97, 768,077.93 and 480,308.12

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Solution

The fourth proportional to 514,498.97, 768,077.93 and 480,308.12 is: 717,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,498.97 : 768,077.93 = 480,308.12 : x
  2. Step 2: Convert to fraction form
    514,498.97/768,077.93 = 480,308.12/x
  3. Step 3: Cross multiply
    514,498.97x = 768,077.93 × 480,308.12
  4. Step 4: Simplify right side
    514,498.97x = 368,914,066,090.45
  5. Step 5: Solve for x
    x = 368,914,066,090.45/514,498.97
  6. Step 6: Final answer
    x = 717,035.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.