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Finding the Fourth Proportional to 9,870,314.40, 14,784,476.40 and 8,190,698.40

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Solution

The fourth proportional to 9,870,314.40, 14,784,476.40 and 8,190,698.40 is: 12,268,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870,314.40 : 14,784,476.40 = 8,190,698.40 : x
  2. Step 2: Convert to fraction form
    9,870,314.40/14,784,476.40 = 8,190,698.40/x
  3. Step 3: Cross multiply
    9,870,314.40x = 14,784,476.40 × 8,190,698.40
  4. Step 4: Simplify right side
    9,870,314.40x = 121,095,187,194,317.77
  5. Step 5: Solve for x
    x = 121,095,187,194,317.77/9,870,314.40
  6. Step 6: Final answer
    x = 12,268,625.12

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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.