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Finding the Fourth Proportional to 284,870.70, 426,742.85 and 249,849.90

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Solution

The fourth proportional to 284,870.70, 426,742.85 and 249,849.90 is: 374,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,870.70 : 426,742.85 = 249,849.90 : x
  2. Step 2: Convert to fraction form
    284,870.70/426,742.85 = 249,849.90/x
  3. Step 3: Cross multiply
    284,870.70x = 426,742.85 × 249,849.90
  4. Step 4: Simplify right side
    284,870.70x = 106,621,658,398.22
  5. Step 5: Solve for x
    x = 106,621,658,398.22/284,870.70
  6. Step 6: Final answer
    x = 374,280.89

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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.