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Finding the Fourth Proportional to 434,421.90, 651,609.12 and 118,856.01

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Solution

The fourth proportional to 434,421.90, 651,609.12 and 118,856.01 is: 178,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,421.90 : 651,609.12 = 118,856.01 : x
  2. Step 2: Convert to fraction form
    434,421.90/651,609.12 = 118,856.01/x
  3. Step 3: Cross multiply
    434,421.90x = 651,609.12 × 118,856.01
  4. Step 4: Simplify right side
    434,421.90x = 77,447,660,082.81
  5. Step 5: Solve for x
    x = 77,447,660,082.81/434,421.90
  6. Step 6: Final answer
    x = 178,277.52

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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.