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Finding the Fourth Proportional to 682,116, 941,386.59 and 509,734.64

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Solution

The fourth proportional to 682,116, 941,386.59 and 509,734.64 is: 703,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,116 : 941,386.59 = 509,734.64 : x
  2. Step 2: Convert to fraction form
    682,116/941,386.59 = 509,734.64/x
  3. Step 3: Cross multiply
    682,116x = 941,386.59 × 509,734.64
  4. Step 4: Simplify right side
    682,116x = 479,857,349,847.55
  5. Step 5: Solve for x
    x = 479,857,349,847.55/682,116
  6. Step 6: Final answer
    x = 703,483.50

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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.