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Finding the Fourth Proportional to 458,680.80, 688,021.20 and 318,712.80

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Solution

The fourth proportional to 458,680.80, 688,021.20 and 318,712.80 is: 478,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,680.80 : 688,021.20 = 318,712.80 : x
  2. Step 2: Convert to fraction form
    458,680.80/688,021.20 = 318,712.80/x
  3. Step 3: Cross multiply
    458,680.80x = 688,021.20 × 318,712.80
  4. Step 4: Simplify right side
    458,680.80x = 219,281,163,111.36
  5. Step 5: Solve for x
    x = 219,281,163,111.36/458,680.80
  6. Step 6: Final answer
    x = 478,069.20

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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.