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Finding the Fourth Proportional to 472,562.80, 652,124.82 and 257,707

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Solution

The fourth proportional to 472,562.80, 652,124.82 and 257,707 is: 355,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,562.80 : 652,124.82 = 257,707 : x
  2. Step 2: Convert to fraction form
    472,562.80/652,124.82 = 257,707/x
  3. Step 3: Cross multiply
    472,562.80x = 652,124.82 × 257,707
  4. Step 4: Simplify right side
    472,562.80x = 168,057,130,987.74
  5. Step 5: Solve for x
    x = 168,057,130,987.74/472,562.80
  6. Step 6: Final answer
    x = 355,629.20

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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.