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Finding the Fourth Proportional to 285,075.36, 427,492.56 and 85,424.16

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Solution

The fourth proportional to 285,075.36, 427,492.56 and 85,424.16 is: 128,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,075.36 : 427,492.56 = 85,424.16 : x
  2. Step 2: Convert to fraction form
    285,075.36/427,492.56 = 85,424.16/x
  3. Step 3: Cross multiply
    285,075.36x = 427,492.56 × 85,424.16
  4. Step 4: Simplify right side
    285,075.36x = 36,518,192,844.25
  5. Step 5: Solve for x
    x = 36,518,192,844.25/285,075.36
  6. Step 6: Final answer
    x = 128,100.14

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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.