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Finding the Fourth Proportional to 656,315.02, 905,714.76 and 354,509.02

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Solution

The fourth proportional to 656,315.02, 905,714.76 and 354,509.02 is: 489,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,315.02 : 905,714.76 = 354,509.02 : x
  2. Step 2: Convert to fraction form
    656,315.02/905,714.76 = 354,509.02/x
  3. Step 3: Cross multiply
    656,315.02x = 905,714.76 × 354,509.02
  4. Step 4: Simplify right side
    656,315.02x = 321,084,051,967.14
  5. Step 5: Solve for x
    x = 321,084,051,967.14/656,315.02
  6. Step 6: Final answer
    x = 489,222.47

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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.