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Finding the Fourth Proportional to 475,509.95, 656,270.85 and 294,280.25

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Solution

The fourth proportional to 475,509.95, 656,270.85 and 294,280.25 is: 406,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,509.95 : 656,270.85 = 294,280.25 : x
  2. Step 2: Convert to fraction form
    475,509.95/656,270.85 = 294,280.25/x
  3. Step 3: Cross multiply
    475,509.95x = 656,270.85 × 294,280.25
  4. Step 4: Simplify right side
    475,509.95x = 193,127,546,524.36
  5. Step 5: Solve for x
    x = 193,127,546,524.36/475,509.95
  6. Step 6: Final answer
    x = 406,148.28

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1.5x scale

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.