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Finding the Fourth Proportional to 678,462.12, 936,398.61 and 507,239.46

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Solution

The fourth proportional to 678,462.12, 936,398.61 and 507,239.46 is: 700,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,462.12 : 936,398.61 = 507,239.46 : x
  2. Step 2: Convert to fraction form
    678,462.12/936,398.61 = 507,239.46/x
  3. Step 3: Cross multiply
    678,462.12x = 936,398.61 × 507,239.46
  4. Step 4: Simplify right side
    678,462.12x = 474,978,325,281.15
  5. Step 5: Solve for x
    x = 474,978,325,281.15/678,462.12
  6. Step 6: Final answer
    x = 700,080.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.