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Finding the Fourth Proportional to 472,385.07, 707,342.34 and 258,708.41

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Solution

The fourth proportional to 472,385.07, 707,342.34 and 258,708.41 is: 387,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,385.07 : 707,342.34 = 258,708.41 : x
  2. Step 2: Convert to fraction form
    472,385.07/707,342.34 = 258,708.41/x
  3. Step 3: Cross multiply
    472,385.07x = 707,342.34 × 258,708.41
  4. Step 4: Simplify right side
    472,385.07x = 182,995,407,276.83
  5. Step 5: Solve for x
    x = 182,995,407,276.83/472,385.07
  6. Step 6: Final answer
    x = 387,386.10

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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.