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Finding the Fourth Proportional to 501,202.66, 752,445.51 and 430,577.14

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Solution

The fourth proportional to 501,202.66, 752,445.51 and 430,577.14 is: 646,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,202.66 : 752,445.51 = 430,577.14 : x
  2. Step 2: Convert to fraction form
    501,202.66/752,445.51 = 430,577.14/x
  3. Step 3: Cross multiply
    501,202.66x = 752,445.51 × 430,577.14
  4. Step 4: Simplify right side
    501,202.66x = 323,985,835,701.64
  5. Step 5: Solve for x
    x = 323,985,835,701.64/501,202.66
  6. Step 6: Final answer
    x = 646,416.83

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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.