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Finding the Fourth Proportional to 30,602,615.60, 45,903,923.40 and 7,883,512.85

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Solution

The fourth proportional to 30,602,615.60, 45,903,923.40 and 7,883,512.85 is: 11,825,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602,615.60 : 45,903,923.40 = 7,883,512.85 : x
  2. Step 2: Convert to fraction form
    30,602,615.60/45,903,923.40 = 7,883,512.85/x
  3. Step 3: Cross multiply
    30,602,615.60x = 45,903,923.40 × 7,883,512.85
  4. Step 4: Simplify right side
    30,602,615.60x = 361,884,169,989,315.69
  5. Step 5: Solve for x
    x = 361,884,169,989,315.69/30,602,615.60
  6. Step 6: Final answer
    x = 11,825,269.28

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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.