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Finding the Fourth Proportional to 421,523.36, 581,702.64 and 230,536.16

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Solution

The fourth proportional to 421,523.36, 581,702.64 and 230,536.16 is: 318,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,523.36 : 581,702.64 = 230,536.16 : x
  2. Step 2: Convert to fraction form
    421,523.36/581,702.64 = 230,536.16/x
  3. Step 3: Cross multiply
    421,523.36x = 581,702.64 × 230,536.16
  4. Step 4: Simplify right side
    421,523.36x = 134,103,492,887.46
  5. Step 5: Solve for x
    x = 134,103,492,887.46/421,523.36
  6. Step 6: Final answer
    x = 318,140.12

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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.