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Finding the Fourth Proportional to 500,130.72, 690,502.32 and 446,323.32

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Solution

The fourth proportional to 500,130.72, 690,502.32 and 446,323.32 is: 616,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,130.72 : 690,502.32 = 446,323.32 : x
  2. Step 2: Convert to fraction form
    500,130.72/690,502.32 = 446,323.32/x
  3. Step 3: Cross multiply
    500,130.72x = 690,502.32 × 446,323.32
  4. Step 4: Simplify right side
    500,130.72x = 308,187,287,930.10
  5. Step 5: Solve for x
    x = 308,187,287,930.10/500,130.72
  6. Step 6: Final answer
    x = 616,213.47

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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.