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Finding the Fourth Proportional to 561,312.56, 774,612.09 and 319,595.24

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Solution

The fourth proportional to 561,312.56, 774,612.09 and 319,595.24 is: 441,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,312.56 : 774,612.09 = 319,595.24 : x
  2. Step 2: Convert to fraction form
    561,312.56/774,612.09 = 319,595.24/x
  3. Step 3: Cross multiply
    561,312.56x = 774,612.09 × 319,595.24
  4. Step 4: Simplify right side
    561,312.56x = 247,562,332,937.39
  5. Step 5: Solve for x
    x = 247,562,332,937.39/561,312.56
  6. Step 6: Final answer
    x = 441,041.86

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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.