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Finding the Fourth Proportional to 460,924.60, 691,386.90 and 287,865.40

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Solution

The fourth proportional to 460,924.60, 691,386.90 and 287,865.40 is: 431,798.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,924.60 : 691,386.90 = 287,865.40 : x
  2. Step 2: Convert to fraction form
    460,924.60/691,386.90 = 287,865.40/x
  3. Step 3: Cross multiply
    460,924.60x = 691,386.90 × 287,865.40
  4. Step 4: Simplify right side
    460,924.60x = 199,026,366,523.26
  5. Step 5: Solve for x
    x = 199,026,366,523.26/460,924.60
  6. Step 6: Final answer
    x = 431,798.10

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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.