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Finding the Fourth Proportional to 434,322.60, 651,483.90 and 277,247.40

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Solution

The fourth proportional to 434,322.60, 651,483.90 and 277,247.40 is: 415,871.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,322.60 : 651,483.90 = 277,247.40 : x
  2. Step 2: Convert to fraction form
    434,322.60/651,483.90 = 277,247.40/x
  3. Step 3: Cross multiply
    434,322.60x = 651,483.90 × 277,247.40
  4. Step 4: Simplify right side
    434,322.60x = 180,622,217,416.86
  5. Step 5: Solve for x
    x = 180,622,217,416.86/434,322.60
  6. Step 6: Final answer
    x = 415,871.10

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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.