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Finding the Fourth Proportional to 209,413, 314,220.30 and 104,241.16

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Solution

The fourth proportional to 209,413, 314,220.30 and 104,241.16 is: 156,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,413 : 314,220.30 = 104,241.16 : x
  2. Step 2: Convert to fraction form
    209,413/314,220.30 = 104,241.16/x
  3. Step 3: Cross multiply
    209,413x = 314,220.30 × 104,241.16
  4. Step 4: Simplify right side
    209,413x = 32,754,688,567.55
  5. Step 5: Solve for x
    x = 32,754,688,567.55/209,413
  6. Step 6: Final answer
    x = 156,411.92

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1.5x scale

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.