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Finding the Fourth Proportional to 289,463.60, 399,312.81 and 197,513.92

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Solution

The fourth proportional to 289,463.60, 399,312.81 and 197,513.92 is: 272,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,463.60 : 399,312.81 = 197,513.92 : x
  2. Step 2: Convert to fraction form
    289,463.60/399,312.81 = 197,513.92/x
  3. Step 3: Cross multiply
    289,463.60x = 399,312.81 × 197,513.92
  4. Step 4: Simplify right side
    289,463.60x = 78,869,838,409.32
  5. Step 5: Solve for x
    x = 78,869,838,409.32/289,463.60
  6. Step 6: Final answer
    x = 272,468.93

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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.