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Finding the Fourth Proportional to 549,659.20, 824,008.80 and 212,929.60

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Solution

The fourth proportional to 549,659.20, 824,008.80 and 212,929.60 is: 319,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,659.20 : 824,008.80 = 212,929.60 : x
  2. Step 2: Convert to fraction form
    549,659.20/824,008.80 = 212,929.60/x
  3. Step 3: Cross multiply
    549,659.20x = 824,008.80 × 212,929.60
  4. Step 4: Simplify right side
    549,659.20x = 175,455,864,180.48
  5. Step 5: Solve for x
    x = 175,455,864,180.48/549,659.20
  6. Step 6: Final answer
    x = 319,208.46

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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.