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Finding the Fourth Proportional to 485,111,985.60, 727,667,978.40 and 193,835,078.40

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Solution

The fourth proportional to 485,111,985.60, 727,667,978.40 and 193,835,078.40 is: 290,752,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,111,985.60 : 727,667,978.40 = 193,835,078.40 : x
  2. Step 2: Convert to fraction form
    485,111,985.60/727,667,978.40 = 193,835,078.40/x
  3. Step 3: Cross multiply
    485,111,985.60x = 727,667,978.40 × 193,835,078.40
  4. Step 4: Simplify right side
    485,111,985.60x = 141,047,579,642,333,504
  5. Step 5: Solve for x
    x = 141,047,579,642,333,504/485,111,985.60
  6. Step 6: Final answer
    x = 290,752,617.60

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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.