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Finding the Fourth Proportional to 510,373.32, 765,674.49 and 155,415.30

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Solution

The fourth proportional to 510,373.32, 765,674.49 and 155,415.30 is: 233,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,373.32 : 765,674.49 = 155,415.30 : x
  2. Step 2: Convert to fraction form
    510,373.32/765,674.49 = 155,415.30/x
  3. Step 3: Cross multiply
    510,373.32x = 765,674.49 × 155,415.30
  4. Step 4: Simplify right side
    510,373.32x = 118,997,530,565.70
  5. Step 5: Solve for x
    x = 118,997,530,565.70/510,373.32
  6. Step 6: Final answer
    x = 233,157.82

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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.