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Finding the Fourth Proportional to 297,807.30, 446,710.95 and 278,124.30

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Solution

The fourth proportional to 297,807.30, 446,710.95 and 278,124.30 is: 417,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,807.30 : 446,710.95 = 278,124.30 : x
  2. Step 2: Convert to fraction form
    297,807.30/446,710.95 = 278,124.30/x
  3. Step 3: Cross multiply
    297,807.30x = 446,710.95 × 278,124.30
  4. Step 4: Simplify right side
    297,807.30x = 124,241,170,271.09
  5. Step 5: Solve for x
    x = 124,241,170,271.09/297,807.30
  6. Step 6: Final answer
    x = 417,186.45

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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.