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Finding the Fourth Proportional to 379,875.94, 569,813.60 and 152,274.40

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Solution

The fourth proportional to 379,875.94, 569,813.60 and 152,274.40 is: 228,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,875.94 : 569,813.60 = 152,274.40 : x
  2. Step 2: Convert to fraction form
    379,875.94/569,813.60 = 152,274.40/x
  3. Step 3: Cross multiply
    379,875.94x = 569,813.60 × 152,274.40
  4. Step 4: Simplify right side
    379,875.94x = 86,768,023,007.99
  5. Step 5: Solve for x
    x = 86,768,023,007.99/379,875.94
  6. Step 6: Final answer
    x = 228,411.47

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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.