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Finding the Fourth Proportional to 458,637.60, 686,595.60 and 340,831.20

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Solution

The fourth proportional to 458,637.60, 686,595.60 and 340,831.20 is: 510,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,637.60 : 686,595.60 = 340,831.20 : x
  2. Step 2: Convert to fraction form
    458,637.60/686,595.60 = 340,831.20/x
  3. Step 3: Cross multiply
    458,637.60x = 686,595.60 × 340,831.20
  4. Step 4: Simplify right side
    458,637.60x = 234,013,202,262.72
  5. Step 5: Solve for x
    x = 234,013,202,262.72/458,637.60
  6. Step 6: Final answer
    x = 510,235.54

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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.