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Finding the Fourth Proportional to 403,038.40, 604,557.60 and 340,830.40

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Solution

The fourth proportional to 403,038.40, 604,557.60 and 340,830.40 is: 511,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,038.40 : 604,557.60 = 340,830.40 : x
  2. Step 2: Convert to fraction form
    403,038.40/604,557.60 = 340,830.40/x
  3. Step 3: Cross multiply
    403,038.40x = 604,557.60 × 340,830.40
  4. Step 4: Simplify right side
    403,038.40x = 206,051,608,631.04
  5. Step 5: Solve for x
    x = 206,051,608,631.04/403,038.40
  6. Step 6: Final answer
    x = 511,245.60

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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.