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Finding the Fourth Proportional to 536,438.20, 803,345.10 and 255,627.40

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Solution

The fourth proportional to 536,438.20, 803,345.10 and 255,627.40 is: 382,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,438.20 : 803,345.10 = 255,627.40 : x
  2. Step 2: Convert to fraction form
    536,438.20/803,345.10 = 255,627.40/x
  3. Step 3: Cross multiply
    536,438.20x = 803,345.10 × 255,627.40
  4. Step 4: Simplify right side
    536,438.20x = 205,357,019,215.74
  5. Step 5: Solve for x
    x = 205,357,019,215.74/536,438.20
  6. Step 6: Final answer
    x = 382,815.80

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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.