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Finding the Fourth Proportional to 520,693.16, 718,709.32 and 302,953.06

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Solution

The fourth proportional to 520,693.16, 718,709.32 and 302,953.06 is: 418,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,693.16 : 718,709.32 = 302,953.06 : x
  2. Step 2: Convert to fraction form
    520,693.16/718,709.32 = 302,953.06/x
  3. Step 3: Cross multiply
    520,693.16x = 718,709.32 × 302,953.06
  4. Step 4: Simplify right side
    520,693.16x = 217,735,187,744.52
  5. Step 5: Solve for x
    x = 217,735,187,744.52/520,693.16
  6. Step 6: Final answer
    x = 418,164.10

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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.