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Finding the Fourth Proportional to 507,301.68, 698,002.12 and 439,101.28

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Solution

The fourth proportional to 507,301.68, 698,002.12 and 439,101.28 is: 604,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,301.68 : 698,002.12 = 439,101.28 : x
  2. Step 2: Convert to fraction form
    507,301.68/698,002.12 = 439,101.28/x
  3. Step 3: Cross multiply
    507,301.68x = 698,002.12 × 439,101.28
  4. Step 4: Simplify right side
    507,301.68x = 306,493,624,334.71
  5. Step 5: Solve for x
    x = 306,493,624,334.71/507,301.68
  6. Step 6: Final answer
    x = 604,164.42

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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.