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Finding the Fourth Proportional to 726,956,978.40, 1,090,441,688.40 and 242,282,786.40

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Solution

The fourth proportional to 726,956,978.40, 1,090,441,688.40 and 242,282,786.40 is: 363,426,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,956,978.40 : 1,090,441,688.40 = 242,282,786.40 : x
  2. Step 2: Convert to fraction form
    726,956,978.40/1,090,441,688.40 = 242,282,786.40/x
  3. Step 3: Cross multiply
    726,956,978.40x = 1,090,441,688.40 × 242,282,786.40
  4. Step 4: Simplify right side
    726,956,978.40x = 264,195,250,672,272,576
  5. Step 5: Solve for x
    x = 264,195,250,672,272,576/726,956,978.40
  6. Step 6: Final answer
    x = 363,426,252.89

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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.