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Finding the Fourth Proportional to 301,806,003.60, 452,709,005.40 and 209,494,701.90

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Solution

The fourth proportional to 301,806,003.60, 452,709,005.40 and 209,494,701.90 is: 314,242,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,806,003.60 : 452,709,005.40 = 209,494,701.90 : x
  2. Step 2: Convert to fraction form
    301,806,003.60/452,709,005.40 = 209,494,701.90/x
  3. Step 3: Cross multiply
    301,806,003.60x = 452,709,005.40 × 209,494,701.90
  4. Step 4: Simplify right side
    301,806,003.60x = 94,840,138,133,718,480
  5. Step 5: Solve for x
    x = 94,840,138,133,718,480/301,806,003.60
  6. Step 6: Final answer
    x = 314,242,052.85

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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.