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Finding the Fourth Proportional to 292,314, 403,394.40 and 158,178

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Solution

The fourth proportional to 292,314, 403,394.40 and 158,178 is: 218,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,314 : 403,394.40 = 158,178 : x
  2. Step 2: Convert to fraction form
    292,314/403,394.40 = 158,178/x
  3. Step 3: Cross multiply
    292,314x = 403,394.40 × 158,178
  4. Step 4: Simplify right side
    292,314x = 63,808,119,403.20
  5. Step 5: Solve for x
    x = 63,808,119,403.20/292,314
  6. Step 6: Final answer
    x = 218,286.22

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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.