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Finding the Fourth Proportional to 459,585.90, 689,940.45 and 260,045.10

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Solution

The fourth proportional to 459,585.90, 689,940.45 and 260,045.10 is: 390,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,585.90 : 689,940.45 = 260,045.10 : x
  2. Step 2: Convert to fraction form
    459,585.90/689,940.45 = 260,045.10/x
  3. Step 3: Cross multiply
    459,585.90x = 689,940.45 × 260,045.10
  4. Step 4: Simplify right side
    459,585.90x = 179,415,633,314.30
  5. Step 5: Solve for x
    x = 179,415,633,314.30/459,585.90
  6. Step 6: Final answer
    x = 390,385.42

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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.