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Finding the Fourth Proportional to 405,017.52, 607,543.16 and 138,961.04

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Solution

The fourth proportional to 405,017.52, 607,543.16 and 138,961.04 is: 208,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,017.52 : 607,543.16 = 138,961.04 : x
  2. Step 2: Convert to fraction form
    405,017.52/607,543.16 = 138,961.04/x
  3. Step 3: Cross multiply
    405,017.52x = 607,543.16 × 138,961.04
  4. Step 4: Simplify right side
    405,017.52x = 84,424,829,358.49
  5. Step 5: Solve for x
    x = 84,424,829,358.49/405,017.52
  6. Step 6: Final answer
    x = 208,447.35

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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.