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Finding the Fourth Proportional to 370,145.84, 510,798.98 and 200,378.76

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Solution

The fourth proportional to 370,145.84, 510,798.98 and 200,378.76 is: 276,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,145.84 : 510,798.98 = 200,378.76 : x
  2. Step 2: Convert to fraction form
    370,145.84/510,798.98 = 200,378.76/x
  3. Step 3: Cross multiply
    370,145.84x = 510,798.98 × 200,378.76
  4. Step 4: Simplify right side
    370,145.84x = 102,353,266,221.67
  5. Step 5: Solve for x
    x = 102,353,266,221.67/370,145.84
  6. Step 6: Final answer
    x = 276,521.45

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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.