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Finding the Fourth Proportional to 513,090.76, 708,263.22 and 459,280.84

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Solution

The fourth proportional to 513,090.76, 708,263.22 and 459,280.84 is: 633,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,090.76 : 708,263.22 = 459,280.84 : x
  2. Step 2: Convert to fraction form
    513,090.76/708,263.22 = 459,280.84/x
  3. Step 3: Cross multiply
    513,090.76x = 708,263.22 × 459,280.84
  4. Step 4: Simplify right side
    513,090.76x = 325,291,726,622.71
  5. Step 5: Solve for x
    x = 325,291,726,622.71/513,090.76
  6. Step 6: Final answer
    x = 633,984.77

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.