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Finding the Fourth Proportional to 287,713,848.70, 431,570,773.05 and 287,713,848.70

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Solution

The fourth proportional to 287,713,848.70, 431,570,773.05 and 287,713,848.70 is: 431,570,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,713,848.70 : 431,570,773.05 = 287,713,848.70 : x
  2. Step 2: Convert to fraction form
    287,713,848.70/431,570,773.05 = 287,713,848.70/x
  3. Step 3: Cross multiply
    287,713,848.70x = 431,570,773.05 × 287,713,848.70
  4. Step 4: Simplify right side
    287,713,848.70x = 124,168,888,100,649,728
  5. Step 5: Solve for x
    x = 124,168,888,100,649,728/287,713,848.70
  6. Step 6: Final answer
    x = 431,570,773.05

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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.