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Finding the Fourth Proportional to 510,403.60, 765,768.60 and 155,485.20

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Solution

The fourth proportional to 510,403.60, 765,768.60 and 155,485.20 is: 233,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,403.60 : 765,768.60 = 155,485.20 : x
  2. Step 2: Convert to fraction form
    510,403.60/765,768.60 = 155,485.20/x
  3. Step 3: Cross multiply
    510,403.60x = 765,768.60 × 155,485.20
  4. Step 4: Simplify right side
    510,403.60x = 119,065,683,924.72
  5. Step 5: Solve for x
    x = 119,065,683,924.72/510,403.60
  6. Step 6: Final answer
    x = 233,277.52

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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.