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Finding the Fourth Proportional to 318,974,678.40, 478,462,017.60 and 137,576,150.40

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Solution

The fourth proportional to 318,974,678.40, 478,462,017.60 and 137,576,150.40 is: 206,364,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,974,678.40 : 478,462,017.60 = 137,576,150.40 : x
  2. Step 2: Convert to fraction form
    318,974,678.40/478,462,017.60 = 137,576,150.40/x
  3. Step 3: Cross multiply
    318,974,678.40x = 478,462,017.60 × 137,576,150.40
  4. Step 4: Simplify right side
    318,974,678.40x = 65,824,962,494,025,056
  5. Step 5: Solve for x
    x = 65,824,962,494,025,056/318,974,678.40
  6. Step 6: Final answer
    x = 206,364,225.60

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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.