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Finding the Fourth Proportional to 501,206.68, 752,451.52 and 430,581.16

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Solution

The fourth proportional to 501,206.68, 752,451.52 and 430,581.16 is: 646,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,206.68 : 752,451.52 = 430,581.16 : x
  2. Step 2: Convert to fraction form
    501,206.68/752,451.52 = 430,581.16/x
  3. Step 3: Cross multiply
    501,206.68x = 752,451.52 × 430,581.16
  4. Step 4: Simplify right side
    501,206.68x = 323,991,448,325.36
  5. Step 5: Solve for x
    x = 323,991,448,325.36/501,206.68
  6. Step 6: Final answer
    x = 646,422.85

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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.