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Finding the Fourth Proportional to 472,090.08, 708,430.32 and 191,607.30

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Solution

The fourth proportional to 472,090.08, 708,430.32 and 191,607.30 is: 287,530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,090.08 : 708,430.32 = 191,607.30 : x
  2. Step 2: Convert to fraction form
    472,090.08/708,430.32 = 191,607.30/x
  3. Step 3: Cross multiply
    472,090.08x = 708,430.32 × 191,607.30
  4. Step 4: Simplify right side
    472,090.08x = 135,740,420,853.34
  5. Step 5: Solve for x
    x = 135,740,420,853.34/472,090.08
  6. Step 6: Final answer
    x = 287,530.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.