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Finding the Fourth Proportional to 292,041.28, 403,017.12 and 157,905.28

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Solution

The fourth proportional to 292,041.28, 403,017.12 and 157,905.28 is: 217,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,041.28 : 403,017.12 = 157,905.28 : x
  2. Step 2: Convert to fraction form
    292,041.28/403,017.12 = 157,905.28/x
  3. Step 3: Cross multiply
    292,041.28x = 403,017.12 × 157,905.28
  4. Step 4: Simplify right side
    292,041.28x = 63,638,531,178.39
  5. Step 5: Solve for x
    x = 63,638,531,178.39/292,041.28
  6. Step 6: Final answer
    x = 217,909.37

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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.