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Finding the Fourth Proportional to 434,125,911.60, 650,989,801.80 and 191,664,010.80

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Solution

The fourth proportional to 434,125,911.60, 650,989,801.80 and 191,664,010.80 is: 287,408,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,125,911.60 : 650,989,801.80 = 191,664,010.80 : x
  2. Step 2: Convert to fraction form
    434,125,911.60/650,989,801.80 = 191,664,010.80/x
  3. Step 3: Cross multiply
    434,125,911.60x = 650,989,801.80 × 191,664,010.80
  4. Step 4: Simplify right side
    434,125,911.60x = 124,771,316,402,885,056
  5. Step 5: Solve for x
    x = 124,771,316,402,885,056/434,125,911.60
  6. Step 6: Final answer
    x = 287,408,129.92

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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.