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Finding the Fourth Proportional to 538,784, 808,208.40 and 164,810.24

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Solution

The fourth proportional to 538,784, 808,208.40 and 164,810.24 is: 247,225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,784 : 808,208.40 = 164,810.24 : x
  2. Step 2: Convert to fraction form
    538,784/808,208.40 = 164,810.24/x
  3. Step 3: Cross multiply
    538,784x = 808,208.40 × 164,810.24
  4. Step 4: Simplify right side
    538,784x = 133,201,020,374.02
  5. Step 5: Solve for x
    x = 133,201,020,374.02/538,784
  6. Step 6: Final answer
    x = 247,225.27

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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.