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Finding the Fourth Proportional to 708,409.32, 977,526.18 and 421,889.64

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Solution

The fourth proportional to 708,409.32, 977,526.18 and 421,889.64 is: 582,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,409.32 : 977,526.18 = 421,889.64 : x
  2. Step 2: Convert to fraction form
    708,409.32/977,526.18 = 421,889.64/x
  3. Step 3: Cross multiply
    708,409.32x = 977,526.18 × 421,889.64
  4. Step 4: Simplify right side
    708,409.32x = 412,408,168,170.78
  5. Step 5: Solve for x
    x = 412,408,168,170.78/708,409.32
  6. Step 6: Final answer
    x = 582,160.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.