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Finding the Fourth Proportional to 520,308.64, 718,024.32 and 293,954.08

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Solution

The fourth proportional to 520,308.64, 718,024.32 and 293,954.08 is: 405,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,308.64 : 718,024.32 = 293,954.08 : x
  2. Step 2: Convert to fraction form
    520,308.64/718,024.32 = 293,954.08/x
  3. Step 3: Cross multiply
    520,308.64x = 718,024.32 × 293,954.08
  4. Step 4: Simplify right side
    520,308.64x = 211,066,178,403.23
  5. Step 5: Solve for x
    x = 211,066,178,403.23/520,308.64
  6. Step 6: Final answer
    x = 405,655.72

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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.