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Finding the Fourth Proportional to 515,855.20, 711,902.40 and 286,412.49

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Solution

The fourth proportional to 515,855.20, 711,902.40 and 286,412.49 is: 395,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,855.20 : 711,902.40 = 286,412.49 : x
  2. Step 2: Convert to fraction form
    515,855.20/711,902.40 = 286,412.49/x
  3. Step 3: Cross multiply
    515,855.20x = 711,902.40 × 286,412.49
  4. Step 4: Simplify right side
    515,855.20x = 203,897,739,020.98
  5. Step 5: Solve for x
    x = 203,897,739,020.98/515,855.20
  6. Step 6: Final answer
    x = 395,261.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.