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Finding the Fourth Proportional to 403,419.69, 604,905.53 and 187,041.96

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Solution

The fourth proportional to 403,419.69, 604,905.53 and 187,041.96 is: 280,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,419.69 : 604,905.53 = 187,041.96 : x
  2. Step 2: Convert to fraction form
    403,419.69/604,905.53 = 187,041.96/x
  3. Step 3: Cross multiply
    403,419.69x = 604,905.53 × 187,041.96
  4. Step 4: Simplify right side
    403,419.69x = 113,142,715,010.83
  5. Step 5: Solve for x
    x = 113,142,715,010.83/403,419.69
  6. Step 6: Final answer
    x = 280,459.08

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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.