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Finding the Fourth Proportional to 256,461.80, 384,692.70 and 145,869.80

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Solution

The fourth proportional to 256,461.80, 384,692.70 and 145,869.80 is: 218,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,461.80 : 384,692.70 = 145,869.80 : x
  2. Step 2: Convert to fraction form
    256,461.80/384,692.70 = 145,869.80/x
  3. Step 3: Cross multiply
    256,461.80x = 384,692.70 × 145,869.80
  4. Step 4: Simplify right side
    256,461.80x = 56,115,047,210.46
  5. Step 5: Solve for x
    x = 56,115,047,210.46/256,461.80
  6. Step 6: Final answer
    x = 218,804.70

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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.