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Finding the Fourth Proportional to 369,928.96, 510,503.71 and 208,790.80

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Solution

The fourth proportional to 369,928.96, 510,503.71 and 208,790.80 is: 288,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,928.96 : 510,503.71 = 208,790.80 : x
  2. Step 2: Convert to fraction form
    369,928.96/510,503.71 = 208,790.80/x
  3. Step 3: Cross multiply
    369,928.96x = 510,503.71 × 208,790.80
  4. Step 4: Simplify right side
    369,928.96x = 106,588,475,461.35
  5. Step 5: Solve for x
    x = 106,588,475,461.35/369,928.96
  6. Step 6: Final answer
    x = 288,132.29

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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.