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Finding the Fourth Proportional to 229,249,527.80, 343,874,291.70 and 199,389,687.80

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Solution

The fourth proportional to 229,249,527.80, 343,874,291.70 and 199,389,687.80 is: 299,084,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,249,527.80 : 343,874,291.70 = 199,389,687.80 : x
  2. Step 2: Convert to fraction form
    229,249,527.80/343,874,291.70 = 199,389,687.80/x
  3. Step 3: Cross multiply
    229,249,527.80x = 343,874,291.70 × 199,389,687.80
  4. Step 4: Simplify right side
    229,249,527.80x = 68,564,987,664,509,136
  5. Step 5: Solve for x
    x = 68,564,987,664,509,136/229,249,527.80
  6. Step 6: Final answer
    x = 299,084,531.70

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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.