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Finding the Fourth Proportional to 478,409.40, 717,715.32 and 141,423.48

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Solution

The fourth proportional to 478,409.40, 717,715.32 and 141,423.48 is: 212,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,409.40 : 717,715.32 = 141,423.48 : x
  2. Step 2: Convert to fraction form
    478,409.40/717,715.32 = 141,423.48/x
  3. Step 3: Cross multiply
    478,409.40x = 717,715.32 × 141,423.48
  4. Step 4: Simplify right side
    478,409.40x = 101,501,798,203.71
  5. Step 5: Solve for x
    x = 101,501,798,203.71/478,409.40
  6. Step 6: Final answer
    x = 212,165.14

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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.