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Finding the Fourth Proportional to 417,465.72, 575,747 and 320,903.28

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Solution

The fourth proportional to 417,465.72, 575,747 and 320,903.28 is: 442,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,465.72 : 575,747 = 320,903.28 : x
  2. Step 2: Convert to fraction form
    417,465.72/575,747 = 320,903.28/x
  3. Step 3: Cross multiply
    417,465.72x = 575,747 × 320,903.28
  4. Step 4: Simplify right side
    417,465.72x = 184,759,100,750.16
  5. Step 5: Solve for x
    x = 184,759,100,750.16/417,465.72
  6. Step 6: Final answer
    x = 442,573.11

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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.