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Finding the Fourth Proportional to 289,671,208.28, 399,748,347.90 and 157,511,257.88

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Solution

The fourth proportional to 289,671,208.28, 399,748,347.90 and 157,511,257.88 is: 217,366,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,671,208.28 : 399,748,347.90 = 157,511,257.88 : x
  2. Step 2: Convert to fraction form
    289,671,208.28/399,748,347.90 = 157,511,257.88/x
  3. Step 3: Cross multiply
    289,671,208.28x = 399,748,347.90 × 157,511,257.88
  4. Step 4: Simplify right side
    289,671,208.28x = 62,964,865,113,180,848
  5. Step 5: Solve for x
    x = 62,964,865,113,180,848/289,671,208.28
  6. Step 6: Final answer
    x = 217,366,667.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.