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Finding the Fourth Proportional to 380,510.42, 570,792.26 and 152,806.00

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Solution

The fourth proportional to 380,510.42, 570,792.26 and 152,806.00 is: 229,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,510.42 : 570,792.26 = 152,806.00 : x
  2. Step 2: Convert to fraction form
    380,510.42/570,792.26 = 152,806.00/x
  3. Step 3: Cross multiply
    380,510.42x = 570,792.26 × 152,806.00
  4. Step 4: Simplify right side
    380,510.42x = 87,220,484,448.49
  5. Step 5: Solve for x
    x = 87,220,484,448.49/380,510.42
  6. Step 6: Final answer
    x = 229,219.70

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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.