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Finding the Fourth Proportional to 399,456,447.60, 599,184,671.40 and 278,424,562.80

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Solution

The fourth proportional to 399,456,447.60, 599,184,671.40 and 278,424,562.80 is: 417,636,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,456,447.60 : 599,184,671.40 = 278,424,562.80 : x
  2. Step 2: Convert to fraction form
    399,456,447.60/599,184,671.40 = 278,424,562.80/x
  3. Step 3: Cross multiply
    399,456,447.60x = 599,184,671.40 × 278,424,562.80
  4. Step 4: Simplify right side
    399,456,447.60x = 166,827,730,171,006,656
  5. Step 5: Solve for x
    x = 166,827,730,171,006,656/399,456,447.60
  6. Step 6: Final answer
    x = 417,636,844.20

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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.