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Finding the Fourth Proportional to 549,485.40, 822,624.30 and 392,021.40

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Solution

The fourth proportional to 549,485.40, 822,624.30 and 392,021.40 is: 586,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,485.40 : 822,624.30 = 392,021.40 : x
  2. Step 2: Convert to fraction form
    549,485.40/822,624.30 = 392,021.40/x
  3. Step 3: Cross multiply
    549,485.40x = 822,624.30 × 392,021.40
  4. Step 4: Simplify right side
    549,485.40x = 322,486,329,760.02
  5. Step 5: Solve for x
    x = 322,486,329,760.02/549,485.40
  6. Step 6: Final answer
    x = 586,887.90

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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.