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Finding the Fourth Proportional to 409,435.65, 613,862.64 and 156,503.07

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Solution

The fourth proportional to 409,435.65, 613,862.64 and 156,503.07 is: 234,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,435.65 : 613,862.64 = 156,503.07 : x
  2. Step 2: Convert to fraction form
    409,435.65/613,862.64 = 156,503.07/x
  3. Step 3: Cross multiply
    409,435.65x = 613,862.64 × 156,503.07
  4. Step 4: Simplify right side
    409,435.65x = 96,071,387,718.30
  5. Step 5: Solve for x
    x = 96,071,387,718.30/409,435.65
  6. Step 6: Final answer
    x = 234,643.44

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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.