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Finding the Fourth Proportional to 316,637.86, 436,985.22 and 180,640.48

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Solution

The fourth proportional to 316,637.86, 436,985.22 and 180,640.48 is: 249,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,637.86 : 436,985.22 = 180,640.48 : x
  2. Step 2: Convert to fraction form
    316,637.86/436,985.22 = 180,640.48/x
  3. Step 3: Cross multiply
    316,637.86x = 436,985.22 × 180,640.48
  4. Step 4: Simplify right side
    316,637.86x = 78,937,219,893.71
  5. Step 5: Solve for x
    x = 78,937,219,893.71/316,637.86
  6. Step 6: Final answer
    x = 249,298.11

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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.