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Finding the Fourth Proportional to 405,938.84, 560,184 and 224,658.32

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Solution

The fourth proportional to 405,938.84, 560,184 and 224,658.32 is: 310,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,938.84 : 560,184 = 224,658.32 : x
  2. Step 2: Convert to fraction form
    405,938.84/560,184 = 224,658.32/x
  3. Step 3: Cross multiply
    405,938.84x = 560,184 × 224,658.32
  4. Step 4: Simplify right side
    405,938.84x = 125,849,996,330.88
  5. Step 5: Solve for x
    x = 125,849,996,330.88/405,938.84
  6. Step 6: Final answer
    x = 310,022.06

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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.