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Finding the Fourth Proportional to 780,276, 1,076,780.88 and 422,580

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Solution

The fourth proportional to 780,276, 1,076,780.88 and 422,580 is: 583,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,276 : 1,076,780.88 = 422,580 : x
  2. Step 2: Convert to fraction form
    780,276/1,076,780.88 = 422,580/x
  3. Step 3: Cross multiply
    780,276x = 1,076,780.88 × 422,580
  4. Step 4: Simplify right side
    780,276x = 455,026,064,270.40
  5. Step 5: Solve for x
    x = 455,026,064,270.40/780,276
  6. Step 6: Final answer
    x = 583,160.40

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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.