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Finding the Fourth Proportional to 538,160.16, 742,692.96 and 308,715.90

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Solution

The fourth proportional to 538,160.16, 742,692.96 and 308,715.90 is: 426,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,160.16 : 742,692.96 = 308,715.90 : x
  2. Step 2: Convert to fraction form
    538,160.16/742,692.96 = 308,715.90/x
  3. Step 3: Cross multiply
    538,160.16x = 742,692.96 × 308,715.90
  4. Step 4: Simplify right side
    538,160.16x = 229,281,125,570.06
  5. Step 5: Solve for x
    x = 229,281,125,570.06/538,160.16
  6. Step 6: Final answer
    x = 426,046.26

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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.