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Finding the Fourth Proportional to 418,219,663.60, 586,112,190.80 and 418,219,663.60

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Solution

The fourth proportional to 418,219,663.60, 586,112,190.80 and 418,219,663.60 is: 586,112,190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,219,663.60 : 586,112,190.80 = 418,219,663.60 : x
  2. Step 2: Convert to fraction form
    418,219,663.60/586,112,190.80 = 418,219,663.60/x
  3. Step 3: Cross multiply
    418,219,663.60x = 586,112,190.80 × 418,219,663.60
  4. Step 4: Simplify right side
    418,219,663.60x = 245,123,643,268,235,008
  5. Step 5: Solve for x
    x = 245,123,643,268,235,008/418,219,663.60
  6. Step 6: Final answer
    x = 586,112,190.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.