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Finding the Fourth Proportional to 285,312.30, 427,968.45 and 202,368.30

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Solution

The fourth proportional to 285,312.30, 427,968.45 and 202,368.30 is: 303,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,312.30 : 427,968.45 = 202,368.30 : x
  2. Step 2: Convert to fraction form
    285,312.30/427,968.45 = 202,368.30/x
  3. Step 3: Cross multiply
    285,312.30x = 427,968.45 × 202,368.30
  4. Step 4: Simplify right side
    285,312.30x = 86,607,247,680.14
  5. Step 5: Solve for x
    x = 86,607,247,680.14/285,312.30
  6. Step 6: Final answer
    x = 303,552.45

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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.