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Finding the Fourth Proportional to 610,598.86, 842,074.86 and 381,177.32

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Solution

The fourth proportional to 610,598.86, 842,074.86 and 381,177.32 is: 525,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,598.86 : 842,074.86 = 381,177.32 : x
  2. Step 2: Convert to fraction form
    610,598.86/842,074.86 = 381,177.32/x
  3. Step 3: Cross multiply
    610,598.86x = 842,074.86 × 381,177.32
  4. Step 4: Simplify right side
    610,598.86x = 320,979,838,374.18
  5. Step 5: Solve for x
    x = 320,979,838,374.18/610,598.86
  6. Step 6: Final answer
    x = 525,680.38

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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.