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Finding the Fourth Proportional to 610,697.40, 842,767.47 and 338,783.10

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Solution

The fourth proportional to 610,697.40, 842,767.47 and 338,783.10 is: 467,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,697.40 : 842,767.47 = 338,783.10 : x
  2. Step 2: Convert to fraction form
    610,697.40/842,767.47 = 338,783.10/x
  3. Step 3: Cross multiply
    610,697.40x = 842,767.47 × 338,783.10
  4. Step 4: Simplify right side
    610,697.40x = 285,515,376,065.76
  5. Step 5: Solve for x
    x = 285,515,376,065.76/610,697.40
  6. Step 6: Final answer
    x = 467,523.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.