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Finding the Fourth Proportional to 403,492.34, 556,821.10 and 231,416.96

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Solution

The fourth proportional to 403,492.34, 556,821.10 and 231,416.96 is: 319,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,492.34 : 556,821.10 = 231,416.96 : x
  2. Step 2: Convert to fraction form
    403,492.34/556,821.10 = 231,416.96/x
  3. Step 3: Cross multiply
    403,492.34x = 556,821.10 × 231,416.96
  4. Step 4: Simplify right side
    403,492.34x = 128,857,843,731.02
  5. Step 5: Solve for x
    x = 128,857,843,731.02/403,492.34
  6. Step 6: Final answer
    x = 319,356.35

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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.