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Finding the Fourth Proportional to 536,438, 803,432.28 and 256,152.08

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Solution

The fourth proportional to 536,438, 803,432.28 and 256,152.08 is: 383,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,438 : 803,432.28 = 256,152.08 : x
  2. Step 2: Convert to fraction form
    536,438/803,432.28 = 256,152.08/x
  3. Step 3: Cross multiply
    536,438x = 803,432.28 × 256,152.08
  4. Step 4: Simplify right side
    536,438x = 205,800,849,661.14
  5. Step 5: Solve for x
    x = 205,800,849,661.14/536,438
  6. Step 6: Final answer
    x = 383,643.31

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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.