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Finding the Fourth Proportional to 972,723, 1,459,090.98 and 307,875

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Solution

The fourth proportional to 972,723, 1,459,090.98 and 307,875 is: 461,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,723 : 1,459,090.98 = 307,875 : x
  2. Step 2: Convert to fraction form
    972,723/1,459,090.98 = 307,875/x
  3. Step 3: Cross multiply
    972,723x = 1,459,090.98 × 307,875
  4. Step 4: Simplify right side
    972,723x = 449,217,635,467.50
  5. Step 5: Solve for x
    x = 449,217,635,467.50/972,723
  6. Step 6: Final answer
    x = 461,814.55

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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.