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Finding the Fourth Proportional to 560,140.38, 772,970.31 and 305,476.38

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Solution

The fourth proportional to 560,140.38, 772,970.31 and 305,476.38 is: 421,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,140.38 : 772,970.31 = 305,476.38 : x
  2. Step 2: Convert to fraction form
    560,140.38/772,970.31 = 305,476.38/x
  3. Step 3: Cross multiply
    560,140.38x = 772,970.31 × 305,476.38
  4. Step 4: Simplify right side
    560,140.38x = 236,124,172,146.28
  5. Step 5: Solve for x
    x = 236,124,172,146.28/560,140.38
  6. Step 6: Final answer
    x = 421,544.64

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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.