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Finding the Fourth Proportional to 506,637.50, 699,090.71 and 302,645.12

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Solution

The fourth proportional to 506,637.50, 699,090.71 and 302,645.12 is: 417,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,637.50 : 699,090.71 = 302,645.12 : x
  2. Step 2: Convert to fraction form
    506,637.50/699,090.71 = 302,645.12/x
  3. Step 3: Cross multiply
    506,637.50x = 699,090.71 × 302,645.12
  4. Step 4: Simplify right side
    506,637.50x = 211,576,391,818.84
  5. Step 5: Solve for x
    x = 211,576,391,818.84/506,637.50
  6. Step 6: Final answer
    x = 417,609.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.