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Finding the Fourth Proportional to 289,402.16, 434,174.28 and 233,746.64

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Solution

The fourth proportional to 289,402.16, 434,174.28 and 233,746.64 is: 350,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,402.16 : 434,174.28 = 233,746.64 : x
  2. Step 2: Convert to fraction form
    289,402.16/434,174.28 = 233,746.64/x
  3. Step 3: Cross multiply
    289,402.16x = 434,174.28 × 233,746.64
  4. Step 4: Simplify right side
    289,402.16x = 101,486,779,124.42
  5. Step 5: Solve for x
    x = 101,486,779,124.42/289,402.16
  6. Step 6: Final answer
    x = 350,677.34

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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.