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Finding the Fourth Proportional to 405,509.76, 559,580.90 and 224,210.82

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Solution

The fourth proportional to 405,509.76, 559,580.90 and 224,210.82 is: 309,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,509.76 : 559,580.90 = 224,210.82 : x
  2. Step 2: Convert to fraction form
    405,509.76/559,580.90 = 224,210.82/x
  3. Step 3: Cross multiply
    405,509.76x = 559,580.90 × 224,210.82
  4. Step 4: Simplify right side
    405,509.76x = 125,464,090,207.96
  5. Step 5: Solve for x
    x = 125,464,090,207.96/405,509.76
  6. Step 6: Final answer
    x = 309,398.45

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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.