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Finding the Fourth Proportional to 418,925,662.80, 628,671,929.40 and 188,776,280.40

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Solution

The fourth proportional to 418,925,662.80, 628,671,929.40 and 188,776,280.40 is: 283,292,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,925,662.80 : 628,671,929.40 = 188,776,280.40 : x
  2. Step 2: Convert to fraction form
    418,925,662.80/628,671,929.40 = 188,776,280.40/x
  3. Step 3: Cross multiply
    418,925,662.80x = 628,671,929.40 × 188,776,280.40
  4. Step 4: Simplify right side
    418,925,662.80x = 118,678,348,424,023,408
  5. Step 5: Solve for x
    x = 118,678,348,424,023,408/418,925,662.80
  6. Step 6: Final answer
    x = 283,292,142.17

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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.