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Finding the Fourth Proportional to 354,748.48, 489,156 and 290,015.68

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Solution

The fourth proportional to 354,748.48, 489,156 and 290,015.68 is: 399,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,748.48 : 489,156 = 290,015.68 : x
  2. Step 2: Convert to fraction form
    354,748.48/489,156 = 290,015.68/x
  3. Step 3: Cross multiply
    354,748.48x = 489,156 × 290,015.68
  4. Step 4: Simplify right side
    354,748.48x = 141,862,909,966.08
  5. Step 5: Solve for x
    x = 141,862,909,966.08/354,748.48
  6. Step 6: Final answer
    x = 399,897.16

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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.