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Finding the Fourth Proportional to 538,547.94, 807,985.98 and 254,456.64

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Solution

The fourth proportional to 538,547.94, 807,985.98 and 254,456.64 is: 381,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,547.94 : 807,985.98 = 254,456.64 : x
  2. Step 2: Convert to fraction form
    538,547.94/807,985.98 = 254,456.64/x
  3. Step 3: Cross multiply
    538,547.94x = 807,985.98 × 254,456.64
  4. Step 4: Simplify right side
    538,547.94x = 205,597,397,637.91
  5. Step 5: Solve for x
    x = 205,597,397,637.91/538,547.94
  6. Step 6: Final answer
    x = 381,762.48

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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.