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Finding the Fourth Proportional to 403,420.10, 606,442.35 and 285,905.30

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Solution

The fourth proportional to 403,420.10, 606,442.35 and 285,905.30 is: 429,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,420.10 : 606,442.35 = 285,905.30 : x
  2. Step 2: Convert to fraction form
    403,420.10/606,442.35 = 285,905.30/x
  3. Step 3: Cross multiply
    403,420.10x = 606,442.35 × 285,905.30
  4. Step 4: Simplify right side
    403,420.10x = 173,385,082,009.46
  5. Step 5: Solve for x
    x = 173,385,082,009.46/403,420.10
  6. Step 6: Final answer
    x = 429,787.91

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1.5x scale

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.