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Finding the Fourth Proportional to 500,495.43, 750,784.11 and 145,509.01

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Solution

The fourth proportional to 500,495.43, 750,784.11 and 145,509.01 is: 218,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,495.43 : 750,784.11 = 145,509.01 : x
  2. Step 2: Convert to fraction form
    500,495.43/750,784.11 = 145,509.01/x
  3. Step 3: Cross multiply
    500,495.43x = 750,784.11 × 145,509.01
  4. Step 4: Simplify right side
    500,495.43x = 109,245,852,569.83
  5. Step 5: Solve for x
    x = 109,245,852,569.83/500,495.43
  6. Step 6: Final answer
    x = 218,275.42

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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.