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Finding the Fourth Proportional to 507,894.79, 700,900.50 and 290,132.29

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Solution

The fourth proportional to 507,894.79, 700,900.50 and 290,132.29 is: 400,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,894.79 : 700,900.50 = 290,132.29 : x
  2. Step 2: Convert to fraction form
    507,894.79/700,900.50 = 290,132.29/x
  3. Step 3: Cross multiply
    507,894.79x = 700,900.50 × 290,132.29
  4. Step 4: Simplify right side
    507,894.79x = 203,353,867,127.15
  5. Step 5: Solve for x
    x = 203,353,867,127.15/507,894.79
  6. Step 6: Final answer
    x = 400,385.81

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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.