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Finding the Fourth Proportional to 549,101.80, 822,777.90 and 407,384.20

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Solution

The fourth proportional to 549,101.80, 822,777.90 and 407,384.20 is: 610,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,101.80 : 822,777.90 = 407,384.20 : x
  2. Step 2: Convert to fraction form
    549,101.80/822,777.90 = 407,384.20/x
  3. Step 3: Cross multiply
    549,101.80x = 822,777.90 × 407,384.20
  4. Step 4: Simplify right side
    549,101.80x = 335,186,716,569.18
  5. Step 5: Solve for x
    x = 335,186,716,569.18/549,101.80
  6. Step 6: Final answer
    x = 610,427.28

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1.5x scale

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.