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Finding the Fourth Proportional to 478,148.04, 717,353.01 and 141,188.40

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Solution

The fourth proportional to 478,148.04, 717,353.01 and 141,188.40 is: 211,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,148.04 : 717,353.01 = 141,188.40 : x
  2. Step 2: Convert to fraction form
    478,148.04/717,353.01 = 141,188.40/x
  3. Step 3: Cross multiply
    478,148.04x = 717,353.01 × 141,188.40
  4. Step 4: Simplify right side
    478,148.04x = 101,281,923,717.08
  5. Step 5: Solve for x
    x = 101,281,923,717.08/478,148.04
  6. Step 6: Final answer
    x = 211,821.27

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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.