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Finding the Fourth Proportional to 461,492.80, 636,892.03 and 257,583.50

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Solution

The fourth proportional to 461,492.80, 636,892.03 and 257,583.50 is: 355,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,492.80 : 636,892.03 = 257,583.50 : x
  2. Step 2: Convert to fraction form
    461,492.80/636,892.03 = 257,583.50/x
  3. Step 3: Cross multiply
    461,492.80x = 636,892.03 × 257,583.50
  4. Step 4: Simplify right side
    461,492.80x = 164,052,878,209.51
  5. Step 5: Solve for x
    x = 164,052,878,209.51/461,492.80
  6. Step 6: Final answer
    x = 355,483.07

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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.