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Finding the Fourth Proportional to 537,143.60, 804,743.40 and 256,041.20

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Solution

The fourth proportional to 537,143.60, 804,743.40 and 256,041.20 is: 383,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,143.60 : 804,743.40 = 256,041.20 : x
  2. Step 2: Convert to fraction form
    537,143.60/804,743.40 = 256,041.20/x
  3. Step 3: Cross multiply
    537,143.60x = 804,743.40 × 256,041.20
  4. Step 4: Simplify right side
    537,143.60x = 206,047,465,828.08
  5. Step 5: Solve for x
    x = 206,047,465,828.08/537,143.60
  6. Step 6: Final answer
    x = 383,598.48

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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.