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Finding the Fourth Proportional to 405,430.70, 559,445.72 and 224,118.05

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Solution

The fourth proportional to 405,430.70, 559,445.72 and 224,118.05 is: 309,256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,430.70 : 559,445.72 = 224,118.05 : x
  2. Step 2: Convert to fraction form
    405,430.70/559,445.72 = 224,118.05/x
  3. Step 3: Cross multiply
    405,430.70x = 559,445.72 × 224,118.05
  4. Step 4: Simplify right side
    405,430.70x = 125,381,879,929.43
  5. Step 5: Solve for x
    x = 125,381,879,929.43/405,430.70
  6. Step 6: Final answer
    x = 309,256.01

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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.