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Finding the Fourth Proportional to 427,322.14, 640,746.58 and 174,779.98

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Solution

The fourth proportional to 427,322.14, 640,746.58 and 174,779.98 is: 262,073.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,322.14 : 640,746.58 = 174,779.98 : x
  2. Step 2: Convert to fraction form
    427,322.14/640,746.58 = 174,779.98/x
  3. Step 3: Cross multiply
    427,322.14x = 640,746.58 × 174,779.98
  4. Step 4: Simplify right side
    427,322.14x = 111,989,671,221.11
  5. Step 5: Solve for x
    x = 111,989,671,221.11/427,322.14
  6. Step 6: Final answer
    x = 262,073.18

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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.