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Finding the Fourth Proportional to 506,457.80, 759,686.70 and 206,938.10

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Solution

The fourth proportional to 506,457.80, 759,686.70 and 206,938.10 is: 310,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,457.80 : 759,686.70 = 206,938.10 : x
  2. Step 2: Convert to fraction form
    506,457.80/759,686.70 = 206,938.10/x
  3. Step 3: Cross multiply
    506,457.80x = 759,686.70 × 206,938.10
  4. Step 4: Simplify right side
    506,457.80x = 157,208,122,293.27
  5. Step 5: Solve for x
    x = 157,208,122,293.27/506,457.80
  6. Step 6: Final answer
    x = 310,407.15

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Similar ratio
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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.