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Finding the Fourth Proportional to 458,730.90, 688,205.70 and 221,878.80

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Solution

The fourth proportional to 458,730.90, 688,205.70 and 221,878.80 is: 332,871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,730.90 : 688,205.70 = 221,878.80 : x
  2. Step 2: Convert to fraction form
    458,730.90/688,205.70 = 221,878.80/x
  3. Step 3: Cross multiply
    458,730.90x = 688,205.70 × 221,878.80
  4. Step 4: Simplify right side
    458,730.90x = 152,698,254,869.16
  5. Step 5: Solve for x
    x = 152,698,254,869.16/458,730.90
  6. Step 6: Final answer
    x = 332,871.09

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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.