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Finding the Fourth Proportional to 340,143.60, 510,215.40 and 319,148.40

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Solution

The fourth proportional to 340,143.60, 510,215.40 and 319,148.40 is: 478,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,143.60 : 510,215.40 = 319,148.40 : x
  2. Step 2: Convert to fraction form
    340,143.60/510,215.40 = 319,148.40/x
  3. Step 3: Cross multiply
    340,143.60x = 510,215.40 × 319,148.40
  4. Step 4: Simplify right side
    340,143.60x = 162,834,428,565.36
  5. Step 5: Solve for x
    x = 162,834,428,565.36/340,143.60
  6. Step 6: Final answer
    x = 478,722.60

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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.