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Finding the Fourth Proportional to 313,528.32, 432,432 and 217,987.20

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Solution

The fourth proportional to 313,528.32, 432,432 and 217,987.20 is: 300,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,528.32 : 432,432 = 217,987.20 : x
  2. Step 2: Convert to fraction form
    313,528.32/432,432 = 217,987.20/x
  3. Step 3: Cross multiply
    313,528.32x = 432,432 × 217,987.20
  4. Step 4: Simplify right side
    313,528.32x = 94,264,640,870.40
  5. Step 5: Solve for x
    x = 94,264,640,870.40/313,528.32
  6. Step 6: Final answer
    x = 300,657.50

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1.5x scale

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.