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Finding the Fourth Proportional to 585,765, 878,647.50 and 142,533

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Solution

The fourth proportional to 585,765, 878,647.50 and 142,533 is: 213,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,765 : 878,647.50 = 142,533 : x
  2. Step 2: Convert to fraction form
    585,765/878,647.50 = 142,533/x
  3. Step 3: Cross multiply
    585,765x = 878,647.50 × 142,533
  4. Step 4: Simplify right side
    585,765x = 125,236,264,117.50
  5. Step 5: Solve for x
    x = 125,236,264,117.50/585,765
  6. Step 6: Final answer
    x = 213,799.50

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1.5x scale

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.