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Finding the Fourth Proportional to 360,587.50, 497,551.35 and 199,411

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Solution

The fourth proportional to 360,587.50, 497,551.35 and 199,411 is: 275,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,587.50 : 497,551.35 = 199,411 : x
  2. Step 2: Convert to fraction form
    360,587.50/497,551.35 = 199,411/x
  3. Step 3: Cross multiply
    360,587.50x = 497,551.35 × 199,411
  4. Step 4: Simplify right side
    360,587.50x = 99,217,212,254.85
  5. Step 5: Solve for x
    x = 99,217,212,254.85/360,587.50
  6. Step 6: Final answer
    x = 275,154.33

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1.5x scale

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.