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Finding the Fourth Proportional to 520,709.84, 718,290.40 and 302,893.98

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Solution

The fourth proportional to 520,709.84, 718,290.40 and 302,893.98 is: 417,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,709.84 : 718,290.40 = 302,893.98 : x
  2. Step 2: Convert to fraction form
    520,709.84/718,290.40 = 302,893.98/x
  3. Step 3: Cross multiply
    520,709.84x = 718,290.40 × 302,893.98
  4. Step 4: Simplify right side
    520,709.84x = 217,565,838,051.79
  5. Step 5: Solve for x
    x = 217,565,838,051.79/520,709.84
  6. Step 6: Final answer
    x = 417,825.48

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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.