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Finding the Fourth Proportional to 647,852.80, 972,048 and 292,622.08

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Solution

The fourth proportional to 647,852.80, 972,048 and 292,622.08 is: 439,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,852.80 : 972,048 = 292,622.08 : x
  2. Step 2: Convert to fraction form
    647,852.80/972,048 = 292,622.08/x
  3. Step 3: Cross multiply
    647,852.80x = 972,048 × 292,622.08
  4. Step 4: Simplify right side
    647,852.80x = 284,442,707,619.84
  5. Step 5: Solve for x
    x = 284,442,707,619.84/647,852.80
  6. Step 6: Final answer
    x = 439,054.53

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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.