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Finding the Fourth Proportional to 497,698.40, 746,547.60 and 123,721.40

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Solution

The fourth proportional to 497,698.40, 746,547.60 and 123,721.40 is: 185,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,698.40 : 746,547.60 = 123,721.40 : x
  2. Step 2: Convert to fraction form
    497,698.40/746,547.60 = 123,721.40/x
  3. Step 3: Cross multiply
    497,698.40x = 746,547.60 × 123,721.40
  4. Step 4: Simplify right side
    497,698.40x = 92,363,914,238.64
  5. Step 5: Solve for x
    x = 92,363,914,238.64/497,698.40
  6. Step 6: Final answer
    x = 185,582.10

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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.