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Finding the Fourth Proportional to 608,493.69, 913,189.00 and 288,646.47

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Solution

The fourth proportional to 608,493.69, 913,189.00 and 288,646.47 is: 433,182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,493.69 : 913,189.00 = 288,646.47 : x
  2. Step 2: Convert to fraction form
    608,493.69/913,189.00 = 288,646.47/x
  3. Step 3: Cross multiply
    608,493.69x = 913,189.00 × 288,646.47
  4. Step 4: Simplify right side
    608,493.69x = 263,588,779,849.60
  5. Step 5: Solve for x
    x = 263,588,779,849.60/608,493.69
  6. Step 6: Final answer
    x = 433,182.44

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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.