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Finding the Fourth Proportional to 549,136.80, 822,830.40 and 407,419.20

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Solution

The fourth proportional to 549,136.80, 822,830.40 and 407,419.20 is: 610,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,136.80 : 822,830.40 = 407,419.20 : x
  2. Step 2: Convert to fraction form
    549,136.80/822,830.40 = 407,419.20/x
  3. Step 3: Cross multiply
    549,136.80x = 822,830.40 × 407,419.20
  4. Step 4: Simplify right side
    549,136.80x = 335,236,903,303.68
  5. Step 5: Solve for x
    x = 335,236,903,303.68/549,136.80
  6. Step 6: Final answer
    x = 610,479.76

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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.