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Finding the Fourth Proportional to 413,737.40, 620,606.10 and 256,273.40

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Solution

The fourth proportional to 413,737.40, 620,606.10 and 256,273.40 is: 384,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,737.40 : 620,606.10 = 256,273.40 : x
  2. Step 2: Convert to fraction form
    413,737.40/620,606.10 = 256,273.40/x
  3. Step 3: Cross multiply
    413,737.40x = 620,606.10 × 256,273.40
  4. Step 4: Simplify right side
    413,737.40x = 159,044,835,307.74
  5. Step 5: Solve for x
    x = 159,044,835,307.74/413,737.40
  6. Step 6: Final answer
    x = 384,410.10

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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.