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Finding the Fourth Proportional to 289,220.30, 433,830.45 and 283,315.40

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Solution

The fourth proportional to 289,220.30, 433,830.45 and 283,315.40 is: 424,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,220.30 : 433,830.45 = 283,315.40 : x
  2. Step 2: Convert to fraction form
    289,220.30/433,830.45 = 283,315.40/x
  3. Step 3: Cross multiply
    289,220.30x = 433,830.45 × 283,315.40
  4. Step 4: Simplify right side
    289,220.30x = 122,910,847,473.93
  5. Step 5: Solve for x
    x = 122,910,847,473.93/289,220.30
  6. Step 6: Final answer
    x = 424,973.10

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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.