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Finding the Fourth Proportional to 255,437.40, 382,637.70 and 144,499.80

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Solution

The fourth proportional to 255,437.40, 382,637.70 and 144,499.80 is: 216,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,437.40 : 382,637.70 = 144,499.80 : x
  2. Step 2: Convert to fraction form
    255,437.40/382,637.70 = 144,499.80/x
  3. Step 3: Cross multiply
    255,437.40x = 382,637.70 × 144,499.80
  4. Step 4: Simplify right side
    255,437.40x = 55,291,071,122.46
  5. Step 5: Solve for x
    x = 55,291,071,122.46/255,437.40
  6. Step 6: Final answer
    x = 216,456.44

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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.