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Finding the Fourth Proportional to 475,430.64, 654,922.44 and 407,225.40

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Solution

The fourth proportional to 475,430.64, 654,922.44 and 407,225.40 is: 560,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,430.64 : 654,922.44 = 407,225.40 : x
  2. Step 2: Convert to fraction form
    475,430.64/654,922.44 = 407,225.40/x
  3. Step 3: Cross multiply
    475,430.64x = 654,922.44 × 407,225.40
  4. Step 4: Simplify right side
    475,430.64x = 266,701,052,597.98
  5. Step 5: Solve for x
    x = 266,701,052,597.98/475,430.64
  6. Step 6: Final answer
    x = 560,967.32

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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.