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Finding the Fourth Proportional to 370,478.72, 511,259.64 and 200,713.16

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Solution

The fourth proportional to 370,478.72, 511,259.64 and 200,713.16 is: 276,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,478.72 : 511,259.64 = 200,713.16 : x
  2. Step 2: Convert to fraction form
    370,478.72/511,259.64 = 200,713.16/x
  3. Step 3: Cross multiply
    370,478.72x = 511,259.64 × 200,713.16
  4. Step 4: Simplify right side
    370,478.72x = 102,616,537,924.86
  5. Step 5: Solve for x
    x = 102,616,537,924.86/370,478.72
  6. Step 6: Final answer
    x = 276,983.62

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1.5x scale

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.