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Finding the Fourth Proportional to 559,342.81, 838,263.33 and 306,241.30

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Solution

The fourth proportional to 559,342.81, 838,263.33 and 306,241.30 is: 458,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,342.81 : 838,263.33 = 306,241.30 : x
  2. Step 2: Convert to fraction form
    559,342.81/838,263.33 = 306,241.30/x
  3. Step 3: Cross multiply
    559,342.81x = 838,263.33 × 306,241.30
  4. Step 4: Simplify right side
    559,342.81x = 256,710,851,921.53
  5. Step 5: Solve for x
    x = 256,710,851,921.53/559,342.81
  6. Step 6: Final answer
    x = 458,950.84

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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.