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Finding the Fourth Proportional to 496,051.80, 742,109.40 and 430,223.10

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Solution

The fourth proportional to 496,051.80, 742,109.40 and 430,223.10 is: 643,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,051.80 : 742,109.40 = 430,223.10 : x
  2. Step 2: Convert to fraction form
    496,051.80/742,109.40 = 430,223.10/x
  3. Step 3: Cross multiply
    496,051.80x = 742,109.40 × 430,223.10
  4. Step 4: Simplify right side
    496,051.80x = 319,272,606,607.14
  5. Step 5: Solve for x
    x = 319,272,606,607.14/496,051.80
  6. Step 6: Final answer
    x = 643,627.55

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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.