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Finding the Fourth Proportional to 299,145.48, 411,980.94 and 292,613.64

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Solution

The fourth proportional to 299,145.48, 411,980.94 and 292,613.64 is: 402,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,145.48 : 411,980.94 = 292,613.64 : x
  2. Step 2: Convert to fraction form
    299,145.48/411,980.94 = 292,613.64/x
  3. Step 3: Cross multiply
    299,145.48x = 411,980.94 × 292,613.64
  4. Step 4: Simplify right side
    299,145.48x = 120,551,242,464.02
  5. Step 5: Solve for x
    x = 120,551,242,464.02/299,145.48
  6. Step 6: Final answer
    x = 402,985.34

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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.