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Finding the Fourth Proportional to 646,877.40, 970,661.70 and 291,946.20

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Solution

The fourth proportional to 646,877.40, 970,661.70 and 291,946.20 is: 438,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,877.40 : 970,661.70 = 291,946.20 : x
  2. Step 2: Convert to fraction form
    646,877.40/970,661.70 = 291,946.20/x
  3. Step 3: Cross multiply
    646,877.40x = 970,661.70 × 291,946.20
  4. Step 4: Simplify right side
    646,877.40x = 283,380,994,800.54
  5. Step 5: Solve for x
    x = 283,380,994,800.54/646,877.40
  6. Step 6: Final answer
    x = 438,075.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.