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Finding the Fourth Proportional to 472,505.58, 652,071.15 and 257,657.45

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Solution

The fourth proportional to 472,505.58, 652,071.15 and 257,657.45 is: 355,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,505.58 : 652,071.15 = 257,657.45 : x
  2. Step 2: Convert to fraction form
    472,505.58/652,071.15 = 257,657.45/x
  3. Step 3: Cross multiply
    472,505.58x = 652,071.15 × 257,657.45
  4. Step 4: Simplify right side
    472,505.58x = 168,010,986,467.21
  5. Step 5: Solve for x
    x = 168,010,986,467.21/472,505.58
  6. Step 6: Final answer
    x = 355,574.61

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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.