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Finding the Fourth Proportional to 569,415, 785,724.60 and 314,731.56

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Solution

The fourth proportional to 569,415, 785,724.60 and 314,731.56 is: 434,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,415 : 785,724.60 = 314,731.56 : x
  2. Step 2: Convert to fraction form
    569,415/785,724.60 = 314,731.56/x
  3. Step 3: Cross multiply
    569,415x = 785,724.60 × 314,731.56
  4. Step 4: Simplify right side
    569,415x = 247,292,329,088.38
  5. Step 5: Solve for x
    x = 247,292,329,088.38/569,415
  6. Step 6: Final answer
    x = 434,291.91

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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.