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Finding the Fourth Proportional to 506,101.44, 698,348.64 and 288,315.84

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Solution

The fourth proportional to 506,101.44, 698,348.64 and 288,315.84 is: 397,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,101.44 : 698,348.64 = 288,315.84 : x
  2. Step 2: Convert to fraction form
    506,101.44/698,348.64 = 288,315.84/x
  3. Step 3: Cross multiply
    506,101.44x = 698,348.64 × 288,315.84
  4. Step 4: Simplify right side
    506,101.44x = 201,344,974,754.46
  5. Step 5: Solve for x
    x = 201,344,974,754.46/506,101.44
  6. Step 6: Final answer
    x = 397,835.21

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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.