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Finding the Fourth Proportional to 566,409.24, 781,650 and 311,762.25

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Solution

The fourth proportional to 566,409.24, 781,650 and 311,762.25 is: 430,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,409.24 : 781,650 = 311,762.25 : x
  2. Step 2: Convert to fraction form
    566,409.24/781,650 = 311,762.25/x
  3. Step 3: Cross multiply
    566,409.24x = 781,650 × 311,762.25
  4. Step 4: Simplify right side
    566,409.24x = 243,688,962,712.50
  5. Step 5: Solve for x
    x = 243,688,962,712.50/566,409.24
  6. Step 6: Final answer
    x = 430,234.79

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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.