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Finding the Fourth Proportional to 509,347.92, 702,607.40 and 318,029.16

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Solution

The fourth proportional to 509,347.92, 702,607.40 and 318,029.16 is: 438,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,347.92 : 702,607.40 = 318,029.16 : x
  2. Step 2: Convert to fraction form
    509,347.92/702,607.40 = 318,029.16/x
  3. Step 3: Cross multiply
    509,347.92x = 702,607.40 × 318,029.16
  4. Step 4: Simplify right side
    509,347.92x = 223,449,641,231.78
  5. Step 5: Solve for x
    x = 223,449,641,231.78/509,347.92
  6. Step 6: Final answer
    x = 438,697.46

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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.