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Finding the Fourth Proportional to 432,045.70, 646,934.55 and 304,999.90

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Solution

The fourth proportional to 432,045.70, 646,934.55 and 304,999.90 is: 456,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,045.70 : 646,934.55 = 304,999.90 : x
  2. Step 2: Convert to fraction form
    432,045.70/646,934.55 = 304,999.90/x
  3. Step 3: Cross multiply
    432,045.70x = 646,934.55 × 304,999.90
  4. Step 4: Simplify right side
    432,045.70x = 197,314,973,056.55
  5. Step 5: Solve for x
    x = 197,314,973,056.55/432,045.70
  6. Step 6: Final answer
    x = 456,699.31

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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.