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Finding the Fourth Proportional to 610,398.64, 842,315.79 and 338,450.32

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Solution

The fourth proportional to 610,398.64, 842,315.79 and 338,450.32 is: 467,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,398.64 : 842,315.79 = 338,450.32 : x
  2. Step 2: Convert to fraction form
    610,398.64/842,315.79 = 338,450.32/x
  3. Step 3: Cross multiply
    610,398.64x = 842,315.79 × 338,450.32
  4. Step 4: Simplify right side
    610,398.64x = 285,082,048,666.55
  5. Step 5: Solve for x
    x = 285,082,048,666.55/610,398.64
  6. Step 6: Final answer
    x = 467,042.40

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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.