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Finding the Fourth Proportional to 310,613.04, 427,588.16 and 229,888.44

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Solution

The fourth proportional to 310,613.04, 427,588.16 and 229,888.44 is: 316,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,613.04 : 427,588.16 = 229,888.44 : x
  2. Step 2: Convert to fraction form
    310,613.04/427,588.16 = 229,888.44/x
  3. Step 3: Cross multiply
    310,613.04x = 427,588.16 × 229,888.44
  4. Step 4: Simplify right side
    310,613.04x = 98,297,575,064.87
  5. Step 5: Solve for x
    x = 98,297,575,064.87/310,613.04
  6. Step 6: Final answer
    x = 316,463.13

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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.