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Finding the Fourth Proportional to 510,434.66, 765,762.86 and 155,439.41

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Solution

The fourth proportional to 510,434.66, 765,762.86 and 155,439.41 is: 233,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,434.66 : 765,762.86 = 155,439.41 : x
  2. Step 2: Convert to fraction form
    510,434.66/765,762.86 = 155,439.41/x
  3. Step 3: Cross multiply
    510,434.66x = 765,762.86 × 155,439.41
  4. Step 4: Simplify right side
    510,434.66x = 119,029,723,718.10
  5. Step 5: Solve for x
    x = 119,029,723,718.10/510,434.66
  6. Step 6: Final answer
    x = 233,192.87

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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.