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Finding the Fourth Proportional to 535,996.32, 803,871.68 and 319,916.01

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Solution

The fourth proportional to 535,996.32, 803,871.68 and 319,916.01 is: 479,800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,996.32 : 803,871.68 = 319,916.01 : x
  2. Step 2: Convert to fraction form
    535,996.32/803,871.68 = 319,916.01/x
  3. Step 3: Cross multiply
    535,996.32x = 803,871.68 × 319,916.01
  4. Step 4: Simplify right side
    535,996.32x = 257,171,420,417.60
  5. Step 5: Solve for x
    x = 257,171,420,417.60/535,996.32
  6. Step 6: Final answer
    x = 479,800.72

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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.