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Finding the Fourth Proportional to 407,870.70, 611,208.45 and 365,750.70

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Solution

The fourth proportional to 407,870.70, 611,208.45 and 365,750.70 is: 548,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,870.70 : 611,208.45 = 365,750.70 : x
  2. Step 2: Convert to fraction form
    407,870.70/611,208.45 = 365,750.70/x
  3. Step 3: Cross multiply
    407,870.70x = 611,208.45 × 365,750.70
  4. Step 4: Simplify right side
    407,870.70x = 223,549,918,433.42
  5. Step 5: Solve for x
    x = 223,549,918,433.42/407,870.70
  6. Step 6: Final answer
    x = 548,090.16

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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.