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Finding the Fourth Proportional to 370,000.64, 510,602.34 and 200,234.72

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Solution

The fourth proportional to 370,000.64, 510,602.34 and 200,234.72 is: 276,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,000.64 : 510,602.34 = 200,234.72 : x
  2. Step 2: Convert to fraction form
    370,000.64/510,602.34 = 200,234.72/x
  3. Step 3: Cross multiply
    370,000.64x = 510,602.34 × 200,234.72
  4. Step 4: Simplify right side
    370,000.64x = 102,240,316,581.25
  5. Step 5: Solve for x
    x = 102,240,316,581.25/370,000.64
  6. Step 6: Final answer
    x = 276,324.70

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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.