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Finding the Fourth Proportional to 459,712.80, 689,569.20 and 426,535.20

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Solution

The fourth proportional to 459,712.80, 689,569.20 and 426,535.20 is: 639,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,712.80 : 689,569.20 = 426,535.20 : x
  2. Step 2: Convert to fraction form
    459,712.80/689,569.20 = 426,535.20/x
  3. Step 3: Cross multiply
    459,712.80x = 689,569.20 × 426,535.20
  4. Step 4: Simplify right side
    459,712.80x = 294,125,536,635.84
  5. Step 5: Solve for x
    x = 294,125,536,635.84/459,712.80
  6. Step 6: Final answer
    x = 639,802.80

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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.