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Finding the Fourth Proportional to 419,143.48, 578,400.64 and 237,851.72

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Solution

The fourth proportional to 419,143.48, 578,400.64 and 237,851.72 is: 328,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,143.48 : 578,400.64 = 237,851.72 : x
  2. Step 2: Convert to fraction form
    419,143.48/578,400.64 = 237,851.72/x
  3. Step 3: Cross multiply
    419,143.48x = 578,400.64 × 237,851.72
  4. Step 4: Simplify right side
    419,143.48x = 137,573,587,073.10
  5. Step 5: Solve for x
    x = 137,573,587,073.10/419,143.48
  6. Step 6: Final answer
    x = 328,225.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.