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Finding the Fourth Proportional to 613,900,814.40, 920,067,400.80 and 249,984,014.40

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Solution

The fourth proportional to 613,900,814.40, 920,067,400.80 and 249,984,014.40 is: 374,656,845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,900,814.40 : 920,067,400.80 = 249,984,014.40 : x
  2. Step 2: Convert to fraction form
    613,900,814.40/920,067,400.80 = 249,984,014.40/x
  3. Step 3: Cross multiply
    613,900,814.40x = 920,067,400.80 × 249,984,014.40
  4. Step 4: Simplify right side
    613,900,814.40x = 230,002,142,370,557,760
  5. Step 5: Solve for x
    x = 230,002,142,370,557,760/613,900,814.40
  6. Step 6: Final answer
    x = 374,656,845.17

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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.