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Finding the Fourth Proportional to 780,054, 1,076,474.52 and 422,358

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Solution

The fourth proportional to 780,054, 1,076,474.52 and 422,358 is: 582,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,054 : 1,076,474.52 = 422,358 : x
  2. Step 2: Convert to fraction form
    780,054/1,076,474.52 = 422,358/x
  3. Step 3: Cross multiply
    780,054x = 1,076,474.52 × 422,358
  4. Step 4: Simplify right side
    780,054x = 454,657,625,318.16
  5. Step 5: Solve for x
    x = 454,657,625,318.16/780,054
  6. Step 6: Final answer
    x = 582,854.04

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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.