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Finding the Fourth Proportional to 509,374.48, 702,936.93 and 283,019.98

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Solution

The fourth proportional to 509,374.48, 702,936.93 and 283,019.98 is: 390,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,374.48 : 702,936.93 = 283,019.98 : x
  2. Step 2: Convert to fraction form
    509,374.48/702,936.93 = 283,019.98/x
  3. Step 3: Cross multiply
    509,374.48x = 702,936.93 × 283,019.98
  4. Step 4: Simplify right side
    509,374.48x = 198,945,195,869.86
  5. Step 5: Solve for x
    x = 198,945,195,869.86/509,374.48
  6. Step 6: Final answer
    x = 390,567.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.