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Finding the Fourth Proportional to 288,545.56, 432,802.14 and 78,168.04

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Solution

The fourth proportional to 288,545.56, 432,802.14 and 78,168.04 is: 117,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,545.56 : 432,802.14 = 78,168.04 : x
  2. Step 2: Convert to fraction form
    288,545.56/432,802.14 = 78,168.04/x
  3. Step 3: Cross multiply
    288,545.56x = 432,802.14 × 78,168.04
  4. Step 4: Simplify right side
    288,545.56x = 33,831,294,991.61
  5. Step 5: Solve for x
    x = 33,831,294,991.61/288,545.56
  6. Step 6: Final answer
    x = 117,247.67

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1.5x scale

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.