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Finding the Fourth Proportional to 434,548, 651,697.45 and 130,971.54

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Solution

The fourth proportional to 434,548, 651,697.45 and 130,971.54 is: 196,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,548 : 651,697.45 = 130,971.54 : x
  2. Step 2: Convert to fraction form
    434,548/651,697.45 = 130,971.54/x
  3. Step 3: Cross multiply
    434,548x = 651,697.45 × 130,971.54
  4. Step 4: Simplify right side
    434,548x = 85,353,818,640.57
  5. Step 5: Solve for x
    x = 85,353,818,640.57/434,548
  6. Step 6: Final answer
    x = 196,419.77

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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.