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Finding the Fourth Proportional to 287,789,420.60, 431,684,130.90 and 200,113,465.40

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Solution

The fourth proportional to 287,789,420.60, 431,684,130.90 and 200,113,465.40 is: 300,170,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,789,420.60 : 431,684,130.90 = 200,113,465.40 : x
  2. Step 2: Convert to fraction form
    287,789,420.60/431,684,130.90 = 200,113,465.40/x
  3. Step 3: Cross multiply
    287,789,420.60x = 431,684,130.90 × 200,113,465.40
  4. Step 4: Simplify right side
    287,789,420.60x = 86,385,807,392,586,224
  5. Step 5: Solve for x
    x = 86,385,807,392,586,224/287,789,420.60
  6. Step 6: Final answer
    x = 300,170,198.10

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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.