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Finding the Fourth Proportional to 420,275.79, 579,978.02 and 238,987.87

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Solution

The fourth proportional to 420,275.79, 579,978.02 and 238,987.87 is: 329,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,275.79 : 579,978.02 = 238,987.87 : x
  2. Step 2: Convert to fraction form
    420,275.79/579,978.02 = 238,987.87/x
  3. Step 3: Cross multiply
    420,275.79x = 579,978.02 × 238,987.87
  4. Step 4: Simplify right side
    420,275.79x = 138,607,710,794.14
  5. Step 5: Solve for x
    x = 138,607,710,794.14/420,275.79
  6. Step 6: Final answer
    x = 329,801.80

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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.