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Finding the Fourth Proportional to 518,056.09, 714,939.46 and 288,613.24

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Solution

The fourth proportional to 518,056.09, 714,939.46 and 288,613.24 is: 398,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,056.09 : 714,939.46 = 288,613.24 : x
  2. Step 2: Convert to fraction form
    518,056.09/714,939.46 = 288,613.24/x
  3. Step 3: Cross multiply
    518,056.09x = 714,939.46 × 288,613.24
  4. Step 4: Simplify right side
    518,056.09x = 206,340,997,090.55
  5. Step 5: Solve for x
    x = 206,340,997,090.55/518,056.09
  6. Step 6: Final answer
    x = 398,298.57

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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.