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Finding the Fourth Proportional to 522,345.72, 783,518.76 and 143,270.40

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Solution

The fourth proportional to 522,345.72, 783,518.76 and 143,270.40 is: 214,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,345.72 : 783,518.76 = 143,270.40 : x
  2. Step 2: Convert to fraction form
    522,345.72/783,518.76 = 143,270.40/x
  3. Step 3: Cross multiply
    522,345.72x = 783,518.76 × 143,270.40
  4. Step 4: Simplify right side
    522,345.72x = 112,255,046,152.70
  5. Step 5: Solve for x
    x = 112,255,046,152.70/522,345.72
  6. Step 6: Final answer
    x = 214,905.65

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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.