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Finding the Fourth Proportional to 472,670.12, 652,292.46 and 257,810.13

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Solution

The fourth proportional to 472,670.12, 652,292.46 and 257,810.13 is: 355,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,670.12 : 652,292.46 = 257,810.13 : x
  2. Step 2: Convert to fraction form
    472,670.12/652,292.46 = 257,810.13/x
  3. Step 3: Cross multiply
    472,670.12x = 652,292.46 × 257,810.13
  4. Step 4: Simplify right side
    472,670.12x = 168,167,603,910.62
  5. Step 5: Solve for x
    x = 168,167,603,910.62/472,670.12
  6. Step 6: Final answer
    x = 355,782.18

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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.