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Finding the Fourth Proportional to 477,761.64, 716,746.14 and 145,329

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Solution

The fourth proportional to 477,761.64, 716,746.14 and 145,329 is: 218,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,761.64 : 716,746.14 = 145,329 : x
  2. Step 2: Convert to fraction form
    477,761.64/716,746.14 = 145,329/x
  3. Step 3: Cross multiply
    477,761.64x = 716,746.14 × 145,329
  4. Step 4: Simplify right side
    477,761.64x = 104,163,999,780.06
  5. Step 5: Solve for x
    x = 104,163,999,780.06/477,761.64
  6. Step 6: Final answer
    x = 218,025.04

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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.