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Finding the Fourth Proportional to 403,442.10, 606,475.35 and 285,927.30

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Solution

The fourth proportional to 403,442.10, 606,475.35 and 285,927.30 is: 429,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,442.10 : 606,475.35 = 285,927.30 : x
  2. Step 2: Convert to fraction form
    403,442.10/606,475.35 = 285,927.30/x
  3. Step 3: Cross multiply
    403,442.10x = 606,475.35 × 285,927.30
  4. Step 4: Simplify right side
    403,442.10x = 173,407,859,342.06
  5. Step 5: Solve for x
    x = 173,407,859,342.06/403,442.10
  6. Step 6: Final answer
    x = 429,820.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.