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Finding the Fourth Proportional to 497,410.80, 745,678.80 and 297,810.60

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Solution

The fourth proportional to 497,410.80, 745,678.80 and 297,810.60 is: 446,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,410.80 : 745,678.80 = 297,810.60 : x
  2. Step 2: Convert to fraction form
    497,410.80/745,678.80 = 297,810.60/x
  3. Step 3: Cross multiply
    497,410.80x = 745,678.80 × 297,810.60
  4. Step 4: Simplify right side
    497,410.80x = 222,071,050,835.28
  5. Step 5: Solve for x
    x = 222,071,050,835.28/497,410.80
  6. Step 6: Final answer
    x = 446,454.02

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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.