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Finding the Fourth Proportional to 459,969.60, 689,954.40 and 434,308.80

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Solution

The fourth proportional to 459,969.60, 689,954.40 and 434,308.80 is: 651,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,969.60 : 689,954.40 = 434,308.80 : x
  2. Step 2: Convert to fraction form
    459,969.60/689,954.40 = 434,308.80/x
  3. Step 3: Cross multiply
    459,969.60x = 689,954.40 × 434,308.80
  4. Step 4: Simplify right side
    459,969.60x = 299,653,267,518.72
  5. Step 5: Solve for x
    x = 299,653,267,518.72/459,969.60
  6. Step 6: Final answer
    x = 651,463.20

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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.