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Finding the Fourth Proportional to 413,750.40, 621,788.16 and 245,294.64

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Solution

The fourth proportional to 413,750.40, 621,788.16 and 245,294.64 is: 368,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,750.40 : 621,788.16 = 245,294.64 : x
  2. Step 2: Convert to fraction form
    413,750.40/621,788.16 = 245,294.64/x
  3. Step 3: Cross multiply
    413,750.40x = 621,788.16 × 245,294.64
  4. Step 4: Simplify right side
    413,750.40x = 152,521,302,863.46
  5. Step 5: Solve for x
    x = 152,521,302,863.46/413,750.40
  6. Step 6: Final answer
    x = 368,631.19

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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.