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Finding the Fourth Proportional to 289,353.92, 434,030.93 and 120,782.29

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Solution

The fourth proportional to 289,353.92, 434,030.93 and 120,782.29 is: 181,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,353.92 : 434,030.93 = 120,782.29 : x
  2. Step 2: Convert to fraction form
    289,353.92/434,030.93 = 120,782.29/x
  3. Step 3: Cross multiply
    289,353.92x = 434,030.93 × 120,782.29
  4. Step 4: Simplify right side
    289,353.92x = 52,423,249,656.23
  5. Step 5: Solve for x
    x = 52,423,249,656.23/289,353.92
  6. Step 6: Final answer
    x = 181,173.46

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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.