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Finding the Fourth Proportional to 472,765, 652,415.70 and 257,905.93

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Solution

The fourth proportional to 472,765, 652,415.70 and 257,905.93 is: 355,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,765 : 652,415.70 = 257,905.93 : x
  2. Step 2: Convert to fraction form
    472,765/652,415.70 = 257,905.93/x
  3. Step 3: Cross multiply
    472,765x = 652,415.70 × 257,905.93
  4. Step 4: Simplify right side
    472,765x = 168,261,877,855.10
  5. Step 5: Solve for x
    x = 168,261,877,855.10/472,765
  6. Step 6: Final answer
    x = 355,910.18

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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.