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Finding the Fourth Proportional to 472,756.32, 652,405.86 and 257,895.72

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Solution

The fourth proportional to 472,756.32, 652,405.86 and 257,895.72 is: 355,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,756.32 : 652,405.86 = 257,895.72 : x
  2. Step 2: Convert to fraction form
    472,756.32/652,405.86 = 257,895.72/x
  3. Step 3: Cross multiply
    472,756.32x = 652,405.86 × 257,895.72
  4. Step 4: Simplify right side
    472,756.32x = 168,252,678,996.92
  5. Step 5: Solve for x
    x = 168,252,678,996.92/472,756.32
  6. Step 6: Final answer
    x = 355,897.26

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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.