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Finding the Fourth Proportional to 313,929.60, 470,484.80 and 145,430.40

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Solution

The fourth proportional to 313,929.60, 470,484.80 and 145,430.40 is: 217,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,929.60 : 470,484.80 = 145,430.40 : x
  2. Step 2: Convert to fraction form
    313,929.60/470,484.80 = 145,430.40/x
  3. Step 3: Cross multiply
    313,929.60x = 470,484.80 × 145,430.40
  4. Step 4: Simplify right side
    313,929.60x = 68,422,792,657.92
  5. Step 5: Solve for x
    x = 68,422,792,657.92/313,929.60
  6. Step 6: Final answer
    x = 217,955.85

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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.