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Finding the Fourth Proportional to 530,299, 731,812.74 and 291,835

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Solution

The fourth proportional to 530,299, 731,812.74 and 291,835 is: 402,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,299 : 731,812.74 = 291,835 : x
  2. Step 2: Convert to fraction form
    530,299/731,812.74 = 291,835/x
  3. Step 3: Cross multiply
    530,299x = 731,812.74 × 291,835
  4. Step 4: Simplify right side
    530,299x = 213,568,570,977.90
  5. Step 5: Solve for x
    x = 213,568,570,977.90/530,299
  6. Step 6: Final answer
    x = 402,732.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.