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Finding the Fourth Proportional to 299,563,653.60, 448,841,595.60 and 256,229,560.80

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Solution

The fourth proportional to 299,563,653.60, 448,841,595.60 and 256,229,560.80 is: 383,913,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,563,653.60 : 448,841,595.60 = 256,229,560.80 : x
  2. Step 2: Convert to fraction form
    299,563,653.60/448,841,595.60 = 256,229,560.80/x
  3. Step 3: Cross multiply
    299,563,653.60x = 448,841,595.60 × 256,229,560.80
  4. Step 4: Simplify right side
    299,563,653.60x = 115,006,484,909,359,216
  5. Step 5: Solve for x
    x = 115,006,484,909,359,216/299,563,653.60
  6. Step 6: Final answer
    x = 383,913,347.05

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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.