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Finding the Fourth Proportional to 500,283.68, 750,411.90 and 140,457.53

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Solution

The fourth proportional to 500,283.68, 750,411.90 and 140,457.53 is: 210,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,283.68 : 750,411.90 = 140,457.53 : x
  2. Step 2: Convert to fraction form
    500,283.68/750,411.90 = 140,457.53/x
  3. Step 3: Cross multiply
    500,283.68x = 750,411.90 × 140,457.53
  4. Step 4: Simplify right side
    500,283.68x = 105,400,998,204.55
  5. Step 5: Solve for x
    x = 105,400,998,204.55/500,283.68
  6. Step 6: Final answer
    x = 210,682.47

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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.