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Finding the Fourth Proportional to 559,513.49, 838,672.62 and 319,109.81

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Solution

The fourth proportional to 559,513.49, 838,672.62 and 319,109.81 is: 478,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,513.49 : 838,672.62 = 319,109.81 : x
  2. Step 2: Convert to fraction form
    559,513.49/838,672.62 = 319,109.81/x
  3. Step 3: Cross multiply
    559,513.49x = 838,672.62 × 319,109.81
  4. Step 4: Simplify right side
    559,513.49x = 267,628,660,420.40
  5. Step 5: Solve for x
    x = 267,628,660,420.40/559,513.49
  6. Step 6: Final answer
    x = 478,323.87

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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.