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Finding the Fourth Proportional to 485,411,486.95, 728,037,514.26 and 208,988,281.87

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Solution

The fourth proportional to 485,411,486.95, 728,037,514.26 and 208,988,281.87 is: 313,448,101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,411,486.95 : 728,037,514.26 = 208,988,281.87 : x
  2. Step 2: Convert to fraction form
    485,411,486.95/728,037,514.26 = 208,988,281.87/x
  3. Step 3: Cross multiply
    485,411,486.95x = 728,037,514.26 × 208,988,281.87
  4. Step 4: Simplify right side
    485,411,486.95x = 152,151,309,242,103,040
  5. Step 5: Solve for x
    x = 152,151,309,242,103,040/485,411,486.95
  6. Step 6: Final answer
    x = 313,448,101.94

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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.