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Finding the Fourth Proportional to 208,009,807.20, 312,014,710.80 and 147,543,631.20

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Solution

The fourth proportional to 208,009,807.20, 312,014,710.80 and 147,543,631.20 is: 221,315,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,009,807.20 : 312,014,710.80 = 147,543,631.20 : x
  2. Step 2: Convert to fraction form
    208,009,807.20/312,014,710.80 = 147,543,631.20/x
  3. Step 3: Cross multiply
    208,009,807.20x = 312,014,710.80 × 147,543,631.20
  4. Step 4: Simplify right side
    208,009,807.20x = 46,035,783,419,249,856
  5. Step 5: Solve for x
    x = 46,035,783,419,249,856/208,009,807.20
  6. Step 6: Final answer
    x = 221,315,446.80

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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.