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Finding the Fourth Proportional to 285,222.84, 427,801.86 and 74,877.18

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Solution

The fourth proportional to 285,222.84, 427,801.86 and 74,877.18 is: 112,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,222.84 : 427,801.86 = 74,877.18 : x
  2. Step 2: Convert to fraction form
    285,222.84/427,801.86 = 74,877.18/x
  3. Step 3: Cross multiply
    285,222.84x = 427,801.86 × 74,877.18
  4. Step 4: Simplify right side
    285,222.84x = 32,032,596,875.55
  5. Step 5: Solve for x
    x = 32,032,596,875.55/285,222.84
  6. Step 6: Final answer
    x = 112,307.26

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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.