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Finding the Fourth Proportional to 472,707.45, 652,312.31 and 257,845.77

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Solution

The fourth proportional to 472,707.45, 652,312.31 and 257,845.77 is: 355,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,707.45 : 652,312.31 = 257,845.77 : x
  2. Step 2: Convert to fraction form
    472,707.45/652,312.31 = 257,845.77/x
  3. Step 3: Cross multiply
    472,707.45x = 652,312.31 × 257,845.77
  4. Step 4: Simplify right side
    472,707.45x = 168,195,968,563.20
  5. Step 5: Solve for x
    x = 168,195,968,563.20/472,707.45
  6. Step 6: Final answer
    x = 355,814.08

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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.