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Finding the Fourth Proportional to 1,319,179,966.40, 1,978,266,064.80 and 398,750,398.40

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Solution

The fourth proportional to 1,319,179,966.40, 1,978,266,064.80 and 398,750,398.40 is: 597,973,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319,179,966.40 : 1,978,266,064.80 = 398,750,398.40 : x
  2. Step 2: Convert to fraction form
    1,319,179,966.40/1,978,266,064.80 = 398,750,398.40/x
  3. Step 3: Cross multiply
    1,319,179,966.40x = 1,978,266,064.80 × 398,750,398.40
  4. Step 4: Simplify right side
    1,319,179,966.40x = 788,834,381,480,200,192
  5. Step 5: Solve for x
    x = 788,834,381,480,200,192/1,319,179,966.40
  6. Step 6: Final answer
    x = 597,973,287.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.