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Finding the Fourth Proportional to 497,999.40, 747,776.70 and 288,047.40

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Solution

The fourth proportional to 497,999.40, 747,776.70 and 288,047.40 is: 432,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,999.40 : 747,776.70 = 288,047.40 : x
  2. Step 2: Convert to fraction form
    497,999.40/747,776.70 = 288,047.40/x
  3. Step 3: Cross multiply
    497,999.40x = 747,776.70 × 288,047.40
  4. Step 4: Simplify right side
    497,999.40x = 215,395,134,215.58
  5. Step 5: Solve for x
    x = 215,395,134,215.58/497,999.40
  6. Step 6: Final answer
    x = 432,520.87

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1.5x scale

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.