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Finding the Fourth Proportional to 475,642.40, 656,379.06 and 260,784.32

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Solution

The fourth proportional to 475,642.40, 656,379.06 and 260,784.32 is: 359,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,642.40 : 656,379.06 = 260,784.32 : x
  2. Step 2: Convert to fraction form
    475,642.40/656,379.06 = 260,784.32/x
  3. Step 3: Cross multiply
    475,642.40x = 656,379.06 × 260,784.32
  4. Step 4: Simplify right side
    475,642.40x = 171,173,366,824.34
  5. Step 5: Solve for x
    x = 171,173,366,824.34/475,642.40
  6. Step 6: Final answer
    x = 359,878.28

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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.