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Finding the Fourth Proportional to 459,076.80, 688,615.20 and 340,978.80

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Solution

The fourth proportional to 459,076.80, 688,615.20 and 340,978.80 is: 511,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,076.80 : 688,615.20 = 340,978.80 : x
  2. Step 2: Convert to fraction form
    459,076.80/688,615.20 = 340,978.80/x
  3. Step 3: Cross multiply
    459,076.80x = 688,615.20 × 340,978.80
  4. Step 4: Simplify right side
    459,076.80x = 234,803,184,557.76
  5. Step 5: Solve for x
    x = 234,803,184,557.76/459,076.80
  6. Step 6: Final answer
    x = 511,468.20

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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.