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Finding the Fourth Proportional to 576,840.24, 864,647.64 and 340,294.32

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Solution

The fourth proportional to 576,840.24, 864,647.64 and 340,294.32 is: 510,080.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,840.24 : 864,647.64 = 340,294.32 : x
  2. Step 2: Convert to fraction form
    576,840.24/864,647.64 = 340,294.32/x
  3. Step 3: Cross multiply
    576,840.24x = 864,647.64 × 340,294.32
  4. Step 4: Simplify right side
    576,840.24x = 294,234,680,693.41
  5. Step 5: Solve for x
    x = 294,234,680,693.41/576,840.24
  6. Step 6: Final answer
    x = 510,080.02

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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.