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Finding the Fourth Proportional to 873,252,899.80, 1,308,997,551.30 and 435,880,893.40

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Solution

The fourth proportional to 873,252,899.80, 1,308,997,551.30 and 435,880,893.40 is: 653,381,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,252,899.80 : 1,308,997,551.30 = 435,880,893.40 : x
  2. Step 2: Convert to fraction form
    873,252,899.80/1,308,997,551.30 = 435,880,893.40/x
  3. Step 3: Cross multiply
    873,252,899.80x = 1,308,997,551.30 × 435,880,893.40
  4. Step 4: Simplify right side
    873,252,899.80x = 570,567,022,119,056,256
  5. Step 5: Solve for x
    x = 570,567,022,119,056,256/873,252,899.80
  6. Step 6: Final answer
    x = 653,381,193.75

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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.