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Finding the Fourth Proportional to 514,668.15, 772,053.53 and 215,242.47

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Solution

The fourth proportional to 514,668.15, 772,053.53 and 215,242.47 is: 322,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,668.15 : 772,053.53 = 215,242.47 : x
  2. Step 2: Convert to fraction form
    514,668.15/772,053.53 = 215,242.47/x
  3. Step 3: Cross multiply
    514,668.15x = 772,053.53 × 215,242.47
  4. Step 4: Simplify right side
    514,668.15x = 166,178,707,693.21
  5. Step 5: Solve for x
    x = 166,178,707,693.21/514,668.15
  6. Step 6: Final answer
    x = 322,885.16

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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.