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Finding the Fourth Proportional to 549,784.64, 824,418.16 and 212,983

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Solution

The fourth proportional to 549,784.64, 824,418.16 and 212,983 is: 319,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,784.64 : 824,418.16 = 212,983 : x
  2. Step 2: Convert to fraction form
    549,784.64/824,418.16 = 212,983/x
  3. Step 3: Cross multiply
    549,784.64x = 824,418.16 × 212,983
  4. Step 4: Simplify right side
    549,784.64x = 175,587,052,971.28
  5. Step 5: Solve for x
    x = 175,587,052,971.28/549,784.64
  6. Step 6: Final answer
    x = 319,374.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.