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Finding the Fourth Proportional to 499,350.90, 749,026.35 and 430,922.10

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Solution

The fourth proportional to 499,350.90, 749,026.35 and 430,922.10 is: 646,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,350.90 : 749,026.35 = 430,922.10 : x
  2. Step 2: Convert to fraction form
    499,350.90/749,026.35 = 430,922.10/x
  3. Step 3: Cross multiply
    499,350.90x = 749,026.35 × 430,922.10
  4. Step 4: Simplify right side
    499,350.90x = 322,772,007,697.34
  5. Step 5: Solve for x
    x = 322,772,007,697.34/499,350.90
  6. Step 6: Final answer
    x = 646,383.15

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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.