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Finding the Fourth Proportional to 472,683.52, 652,305.30 and 257,828.20

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Solution

The fourth proportional to 472,683.52, 652,305.30 and 257,828.20 is: 355,804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,683.52 : 652,305.30 = 257,828.20 : x
  2. Step 2: Convert to fraction form
    472,683.52/652,305.30 = 257,828.20/x
  3. Step 3: Cross multiply
    472,683.52x = 652,305.30 × 257,828.20
  4. Step 4: Simplify right side
    472,683.52x = 168,182,701,349.46
  5. Step 5: Solve for x
    x = 168,182,701,349.46/472,683.52
  6. Step 6: Final answer
    x = 355,804.03

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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.