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Finding the Fourth Proportional to 585,547.80, 878,321.70 and 142,315.80

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Solution

The fourth proportional to 585,547.80, 878,321.70 and 142,315.80 is: 213,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,547.80 : 878,321.70 = 142,315.80 : x
  2. Step 2: Convert to fraction form
    585,547.80/878,321.70 = 142,315.80/x
  3. Step 3: Cross multiply
    585,547.80x = 878,321.70 × 142,315.80
  4. Step 4: Simplify right side
    585,547.80x = 124,999,055,392.86
  5. Step 5: Solve for x
    x = 124,999,055,392.86/585,547.80
  6. Step 6: Final answer
    x = 213,473.70

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Similar ratio
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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.