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Finding the Fourth Proportional to 478,715.32, 660,511.02 and 287,875

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Solution

The fourth proportional to 478,715.32, 660,511.02 and 287,875 is: 397,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,715.32 : 660,511.02 = 287,875 : x
  2. Step 2: Convert to fraction form
    478,715.32/660,511.02 = 287,875/x
  3. Step 3: Cross multiply
    478,715.32x = 660,511.02 × 287,875
  4. Step 4: Simplify right side
    478,715.32x = 190,144,609,882.50
  5. Step 5: Solve for x
    x = 190,144,609,882.50/478,715.32
  6. Step 6: Final answer
    x = 397,197.67

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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.