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Finding the Fourth Proportional to 257,433.90, 385,567.65 and 152,457.90

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Solution

The fourth proportional to 257,433.90, 385,567.65 and 152,457.90 is: 228,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,433.90 : 385,567.65 = 152,457.90 : x
  2. Step 2: Convert to fraction form
    257,433.90/385,567.65 = 152,457.90/x
  3. Step 3: Cross multiply
    257,433.90x = 385,567.65 × 152,457.90
  4. Step 4: Simplify right side
    257,433.90x = 58,782,834,226.94
  5. Step 5: Solve for x
    x = 58,782,834,226.94/257,433.90
  6. Step 6: Final answer
    x = 228,341.47

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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.