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Finding the Fourth Proportional to 512,962.66, 769,457.13 and 243,027.60

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Solution

The fourth proportional to 512,962.66, 769,457.13 and 243,027.60 is: 364,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,962.66 : 769,457.13 = 243,027.60 : x
  2. Step 2: Convert to fraction form
    512,962.66/769,457.13 = 243,027.60/x
  3. Step 3: Cross multiply
    512,962.66x = 769,457.13 × 243,027.60
  4. Step 4: Simplify right side
    512,962.66x = 186,999,319,606.79
  5. Step 5: Solve for x
    x = 186,999,319,606.79/512,962.66
  6. Step 6: Final answer
    x = 364,547.63

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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.