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Finding the Fourth Proportional to 497,746.40, 746,619.60 and 340,282.40

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Solution

The fourth proportional to 497,746.40, 746,619.60 and 340,282.40 is: 510,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,746.40 : 746,619.60 = 340,282.40 : x
  2. Step 2: Convert to fraction form
    497,746.40/746,619.60 = 340,282.40/x
  3. Step 3: Cross multiply
    497,746.40x = 746,619.60 × 340,282.40
  4. Step 4: Simplify right side
    497,746.40x = 254,061,509,375.04
  5. Step 5: Solve for x
    x = 254,061,509,375.04/497,746.40
  6. Step 6: Final answer
    x = 510,423.60

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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.