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Finding the Fourth Proportional to 664,287,673.60, 996,431,510.40 and 319,158,078.40

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Solution

The fourth proportional to 664,287,673.60, 996,431,510.40 and 319,158,078.40 is: 478,737,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,287,673.60 : 996,431,510.40 = 319,158,078.40 : x
  2. Step 2: Convert to fraction form
    664,287,673.60/996,431,510.40 = 319,158,078.40/x
  3. Step 3: Cross multiply
    664,287,673.60x = 996,431,510.40 × 319,158,078.40
  4. Step 4: Simplify right side
    664,287,673.60x = 318,019,166,116,473,600
  5. Step 5: Solve for x
    x = 318,019,166,116,473,600/664,287,673.60
  6. Step 6: Final answer
    x = 478,737,117.60

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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.