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Finding the Fourth Proportional to 510,356.16, 765,313.20 and 155,287.80

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Solution

The fourth proportional to 510,356.16, 765,313.20 and 155,287.80 is: 232,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,356.16 : 765,313.20 = 155,287.80 : x
  2. Step 2: Convert to fraction form
    510,356.16/765,313.20 = 155,287.80/x
  3. Step 3: Cross multiply
    510,356.16x = 765,313.20 × 155,287.80
  4. Step 4: Simplify right side
    510,356.16x = 118,843,803,138.96
  5. Step 5: Solve for x
    x = 118,843,803,138.96/510,356.16
  6. Step 6: Final answer
    x = 232,864.44

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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.