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Finding the Fourth Proportional to 456,830.40, 684,662.40 and 351,125.40

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Solution

The fourth proportional to 456,830.40, 684,662.40 and 351,125.40 is: 526,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,830.40 : 684,662.40 = 351,125.40 : x
  2. Step 2: Convert to fraction form
    456,830.40/684,662.40 = 351,125.40/x
  3. Step 3: Cross multiply
    456,830.40x = 684,662.40 × 351,125.40
  4. Step 4: Simplify right side
    456,830.40x = 240,402,359,064.96
  5. Step 5: Solve for x
    x = 240,402,359,064.96/456,830.40
  6. Step 6: Final answer
    x = 526,239.85

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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.