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Finding the Fourth Proportional to 10,971,920.40, 16,457,880.60 and 3,880,208.40

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Solution

The fourth proportional to 10,971,920.40, 16,457,880.60 and 3,880,208.40 is: 5,820,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971,920.40 : 16,457,880.60 = 3,880,208.40 : x
  2. Step 2: Convert to fraction form
    10,971,920.40/16,457,880.60 = 3,880,208.40/x
  3. Step 3: Cross multiply
    10,971,920.40x = 16,457,880.60 × 3,880,208.40
  4. Step 4: Simplify right side
    10,971,920.40x = 63,860,006,550,317.04
  5. Step 5: Solve for x
    x = 63,860,006,550,317.04/10,971,920.40
  6. Step 6: Final answer
    x = 5,820,312.60

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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.