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Finding the Fourth Proportional to 287,712,940.40, 431,569,410.60 and 285,697,401.20

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Solution

The fourth proportional to 287,712,940.40, 431,569,410.60 and 285,697,401.20 is: 428,546,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,712,940.40 : 431,569,410.60 = 285,697,401.20 : x
  2. Step 2: Convert to fraction form
    287,712,940.40/431,569,410.60 = 285,697,401.20/x
  3. Step 3: Cross multiply
    287,712,940.40x = 431,569,410.60 × 285,697,401.20
  4. Step 4: Simplify right side
    287,712,940.40x = 123,298,259,045,835,728
  5. Step 5: Solve for x
    x = 123,298,259,045,835,728/287,712,940.40
  6. Step 6: Final answer
    x = 428,546,101.80

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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.