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Finding the Fourth Proportional to 30,902,900.40, 46,370,939.40 and 12,953,818.80

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Solution

The fourth proportional to 30,902,900.40, 46,370,939.40 and 12,953,818.80 is: 19,437,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902,900.40 : 46,370,939.40 = 12,953,818.80 : x
  2. Step 2: Convert to fraction form
    30,902,900.40/46,370,939.40 = 12,953,818.80/x
  3. Step 3: Cross multiply
    30,902,900.40x = 46,370,939.40 × 12,953,818.80
  4. Step 4: Simplify right side
    30,902,900.40x = 600,680,746,573,380.75
  5. Step 5: Solve for x
    x = 600,680,746,573,380.75/30,902,900.40
  6. Step 6: Final answer
    x = 19,437,681.86

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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.