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Finding the Fourth Proportional to 502,430.49, 752,303.84 and 422,714.25

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Solution

The fourth proportional to 502,430.49, 752,303.84 and 422,714.25 is: 632,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,430.49 : 752,303.84 = 422,714.25 : x
  2. Step 2: Convert to fraction form
    502,430.49/752,303.84 = 422,714.25/x
  3. Step 3: Cross multiply
    502,430.49x = 752,303.84 × 422,714.25
  4. Step 4: Simplify right side
    502,430.49x = 318,009,551,384.15
  5. Step 5: Solve for x
    x = 318,009,551,384.15/502,430.49
  6. Step 6: Final answer
    x = 632,942.38

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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.