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Finding the Fourth Proportional to 301,806,043.20, 452,709,064.80 and 287,457,136.20

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Solution

The fourth proportional to 301,806,043.20, 452,709,064.80 and 287,457,136.20 is: 431,185,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,806,043.20 : 452,709,064.80 = 287,457,136.20 : x
  2. Step 2: Convert to fraction form
    301,806,043.20/452,709,064.80 = 287,457,136.20/x
  3. Step 3: Cross multiply
    301,806,043.20x = 452,709,064.80 × 287,457,136.20
  4. Step 4: Simplify right side
    301,806,043.20x = 130,134,451,299,188,224
  5. Step 5: Solve for x
    x = 130,134,451,299,188,224/301,806,043.20
  6. Step 6: Final answer
    x = 431,185,704.30

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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.