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Finding the Fourth Proportional to 407,421.90, 561,903.08 and 305,673.14

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Solution

The fourth proportional to 407,421.90, 561,903.08 and 305,673.14 is: 421,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,421.90 : 561,903.08 = 305,673.14 : x
  2. Step 2: Convert to fraction form
    407,421.90/561,903.08 = 305,673.14/x
  3. Step 3: Cross multiply
    407,421.90x = 561,903.08 × 305,673.14
  4. Step 4: Simplify right side
    407,421.90x = 171,758,678,715.66
  5. Step 5: Solve for x
    x = 171,758,678,715.66/407,421.90
  6. Step 6: Final answer
    x = 421,574.49

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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.