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Finding the Fourth Proportional to 354,510.34, 489,136.80 and 216,654.10

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Solution

The fourth proportional to 354,510.34, 489,136.80 and 216,654.10 is: 298,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,510.34 : 489,136.80 = 216,654.10 : x
  2. Step 2: Convert to fraction form
    354,510.34/489,136.80 = 216,654.10/x
  3. Step 3: Cross multiply
    354,510.34x = 489,136.80 × 216,654.10
  4. Step 4: Simplify right side
    354,510.34x = 105,973,493,180.88
  5. Step 5: Solve for x
    x = 105,973,493,180.88/354,510.34
  6. Step 6: Final answer
    x = 298,929.20

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1.5x scale

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.